Pith Number

pith:ROJX5CXK

pith:1997:ROJX5CXKAQEQHUWH2LBO4MT4CG

not attested not anchored not stored refs pending

Matter Contributions to the Expansion Rate of the Universe

N. C. Tsamis (University of Crete), R. P. Woodard (University of Florida at Gainesville)

arxiv:hep-ph/9710466 v1 · 1997-10-24 · hep-ph · astro-ph · 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{ROJX5CXKAQEQHUWH2LBO4MT4CG}

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

From the Fokker-Planck equation to perturbative QFT's results in de Sitter space

Receipt and verification

First computed	2026-07-04T16:05:16.362165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b937e8aea040903d2c7d2c2ee327c118d6056ac43dbdf3a0df825aafc290084

Aliases

arxiv: hep-ph/9710466 · arxiv_version: hep-ph/9710466v1 · doi: 10.48550/arxiv.hep-ph/9710466 · pith_short_12: ROJX5CXKAQEQ · pith_short_16: ROJX5CXKAQEQHUWH · pith_short_8: ROJX5CXK

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/ROJX5CXKAQEQHUWH2LBO4MT4CG \
  | 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: 8b937e8aea040903d2c7d2c2ee327c118d6056ac43dbdf3a0df825aafc290084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8057e4013ad2bc791a4302dc6ea8d44b46a8a320ee3f5838ed6e5be986ec1c91",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-10-24T18:26:29Z",
    "title_canon_sha256": "a615baa0a8fb5878c3a76a2a096531408fdf89dfa872c7afab23e11a710c9c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9710466",
    "kind": "arxiv",
    "version": 1
  }
}