Pith Number

pith:N3254W5V

pith:1997:N3254W5VTSL4R7D35RG73MCA2O

not attested not anchored not stored refs pending

Cosmological particle production and generalized thermodynamic equilibrium

Winfried Zimdahl

arxiv:gr-qc/9711081 v1 · 1997-11-27 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3254W5VTSL4R7D35RG73MCA2O}

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

1 paper in Pith

Forces parallel to particle trajectories in relativistic gravity

Receipt and verification

First computed	2026-07-04T16:04:41.396814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef5de5bb59c97c8fc7bec4dfdb040d3abaef1ca07d680414930837c2ba655af

Aliases

arxiv: gr-qc/9711081 · arxiv_version: gr-qc/9711081v1 · doi: 10.48550/arxiv.gr-qc/9711081 · pith_short_12: N3254W5VTSL4 · pith_short_16: N3254W5VTSL4R7D3 · pith_short_8: N3254W5V

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/N3254W5VTSL4R7D35RG73MCA2O \
  | 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: 6ef5de5bb59c97c8fc7bec4dfdb040d3abaef1ca07d680414930837c2ba655af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d33b7a850fbff4eb119f685f4192fda9b350c3e9f050a1849b5ed93723b98bf",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-11-27T07:41:41Z",
    "title_canon_sha256": "d094e352c0362916800329b56bf90878d880b99b6370802fd730ffae27aa4515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9711081",
    "kind": "arxiv",
    "version": 1
  }
}