Pith Number

pith:2AXZKZ4Z

pith:2015:2AXZKZ4ZCKNESNBLEB7AHC4IWL

not attested not anchored not stored refs pending

Light propagation in inhomogeneous and anisotropic cosmologies

Pierre Fleury

arxiv:1511.03702 v2 · 2015-11-10 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2AXZKZ4ZCKNESNBLEB7AHC4IWL}

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	2026-07-05T07:32:55.351341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d02f956799129a49342b207e038b88b2c9ec36ba93d1f8b947ff8cc67cc1fb60

Aliases

arxiv: 1511.03702 · arxiv_version: 1511.03702v2 · doi: 10.48550/arxiv.1511.03702 · pith_short_12: 2AXZKZ4ZCKNE · pith_short_16: 2AXZKZ4ZCKNESNBL · pith_short_8: 2AXZKZ4Z

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/2AXZKZ4ZCKNESNBLEB7AHC4IWL \
  | 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: d02f956799129a49342b207e038b88b2c9ec36ba93d1f8b947ff8cc67cc1fb60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5101e6ceea8f4f7f1cb9c28da73a23708d4881955e01a813ac4ffb42d05c7c3",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-10T15:14:02Z",
    "title_canon_sha256": "afde619dd1a3463e59d552a6dc9d04f4dbb805ecf3179bc5031984b92e6808ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03702",
    "kind": "arxiv",
    "version": 2
  }
}