Pith Number

pith:U2X56ERL

pith:1998:U2X56ERLWUXDYVZXTU3I5PRXKV

not attested not anchored not stored refs pending

Cosmological models (Carg\`{e}se lectures 1998)

George F R Ellis, Henk van Elst (University of Cape Town)

arxiv:gr-qc/9812046 v5 · 1998-12-14 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2X56ERLWUXDYVZXTU3I5PRXKV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

10 papers in Pith

Regular Black Holes from Anisotropic Source with Hydrodynamic Equation of State

Geometric Phase-Space Structure in Cosmological Solutions of Einstein's Field Equations

Einstein-Cartan cosmology and the S8 problem

Expected redshift drift for tilted observers

Eckart heat-flux applicability in $F(\Phi,X)R$ theories and the existence of temperature gradients

Receipt and verification

First computed	2026-07-04T15:27:12.468021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6afdf122bb52e3c57379d368ebe3755429c15ceeae60bf2c1382123c8ca853a

Aliases

arxiv: gr-qc/9812046 · arxiv_version: gr-qc/9812046v5 · doi: 10.48550/arxiv.gr-qc/9812046 · pith_short_12: U2X56ERLWUXD · pith_short_16: U2X56ERLWUXDYVZX · pith_short_8: U2X56ERL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U2X56ERLWUXDYVZXTU3I5PRXKV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a6afdf122bb52e3c57379d368ebe3755429c15ceeae60bf2c1382123c8ca853a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b289e1b8d00311b6769404e65f2ebf817dbecf5f70e5e49a465f0082205c6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-12-14T14:58:03Z",
    "title_canon_sha256": "22dff4b78e0a293971dde765078aba84852279ca0ece1a83fe6f2fe73e6cc6a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9812046",
    "kind": "arxiv",
    "version": 5
  }
}