Pith Number

pith:DUMRXT7J

pith:2014:DUMRXT7JRIREUWWU3XKNAECC3A

not attested not anchored not stored refs pending

The evolution of a spatially homogeneous and isotropic universe filled with a collisionless gas

Francisco Astorga, Olivier Sarbach, Thomas Zannias

arxiv:1405.2173 v2 · 2014-05-09 · gr-qc · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUMRXT7JRIREUWWU3XKNAECC3A}

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	2026-05-18T01:43:15.786647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d191bcfe98a224a5ad4ddd4d01042d824af03f6cbe6118a92e7474fa07ea920

Aliases

arxiv: 1405.2173 · arxiv_version: 1405.2173v2 · doi: 10.48550/arxiv.1405.2173 · pith_short_12: DUMRXT7JRIRE · pith_short_16: DUMRXT7JRIREUWWU · pith_short_8: DUMRXT7J

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/DUMRXT7JRIREUWWU3XKNAECC3A \
  | 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: 1d191bcfe98a224a5ad4ddd4d01042d824af03f6cbe6118a92e7474fa07ea920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6d00254086537fd7e6497941aeeb1519a128caef95d8dbcd8653e65b8bb957",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-05-09T08:47:29Z",
    "title_canon_sha256": "0dc1e77aef35cbc40e3b4f09791e14758317da1cd709dae7a04536597103ca52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2173",
    "kind": "arxiv",
    "version": 2
  }
}