Pith Number

pith:4K7L33L2

pith:2015:4K7L33L26EO4TQ64EVMNU7OL25

not attested not anchored not stored refs pending

Cosmological perturbation theory with York time

Philipp Roser

arxiv:1511.03320 v1 · 2015-11-10 · 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{4K7L33L26EO4TQ64EVMNU7OL25}

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.

Receipt and verification

First computed	2026-05-18T01:27:15.769237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bebded7af11dc9c3dc2558da7dcbd77541216e44130c027430fb6abf67f485

Aliases

arxiv: 1511.03320 · arxiv_version: 1511.03320v1 · doi: 10.48550/arxiv.1511.03320 · pith_short_12: 4K7L33L26EO4 · pith_short_16: 4K7L33L26EO4TQ64 · pith_short_8: 4K7L33L2

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/4K7L33L26EO4TQ64EVMNU7OL25 \
  | 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: e2bebded7af11dc9c3dc2558da7dcbd77541216e44130c027430fb6abf67f485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f416f15e00e5aedcb67d8087c2cfe0845d25fdf924f485c9a35efde0ae4c94b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-10T22:34:38Z",
    "title_canon_sha256": "3ec4d913e603e1a34960248bf85adf69703989a1abc86020097d9fff7c013a33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03320",
    "kind": "arxiv",
    "version": 1
  }
}