Pith Number

pith:WTMACT3G

pith:2012:WTMACT3G35XSQBKYOK4TUWYJ52

not attested not anchored not stored refs pending

Friedmann-like equations for High Energy Area of Universe

E. Yusofi, M. Mohsenzadeh

arxiv:1207.1801 v1 · 2012-07-07 · 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{WTMACT3G35XSQBKYOK4TUWYJ52}

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	2026-05-18T00:19:14.579348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1

Aliases

arxiv: 1207.1801 · arxiv_version: 1207.1801v1 · doi: 10.48550/arxiv.1207.1801 · pith_short_12: WTMACT3G35XS · pith_short_16: WTMACT3G35XSQBKY · pith_short_8: WTMACT3G

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/WTMACT3G35XSQBKYOK4TUWYJ52 \
  | 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: b4d8014f66df6f28055872b93a5b09ee8064da9586ed851398e933559d362bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb6fe4c9b21d9231cdbd48a222641913ece8f2a5615a72ba328fc5156e02aa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-07T14:54:02Z",
    "title_canon_sha256": "580ff9069e7bce9e37fbe83ae72a9beaa0dc63f1f6392d6a721281bc22b7582e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1801",
    "kind": "arxiv",
    "version": 1
  }
}