Pith Number

pith:7TMJFUFQ

pith:2010:7TMJFUFQJPQAI3NAXYM7DIVUJU

not attested not anchored not stored refs pending

G-essence with Yukawa Interactions

I. Kulnazarov, K. Yerzhanov, O. Razina, P. Tsyba, R. Myrzakulov, Sh. Myrzakul

arxiv:1012.4669 v2 · 2010-12-21 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TMJFUFQJPQAI3NAXYM7DIVUJU}

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	2026-05-18T04:17:02.956451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd892d0b04be0046da0be19f1a2b44d07b8bc32f283df8ea9ddca6e3495dd72

Aliases

arxiv: 1012.4669 · arxiv_version: 1012.4669v2 · doi: 10.48550/arxiv.1012.4669 · pith_short_12: 7TMJFUFQJPQA · pith_short_16: 7TMJFUFQJPQAI3NA · pith_short_8: 7TMJFUFQ

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/7TMJFUFQJPQAI3NAXYM7DIVUJU \
  | 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: fcd892d0b04be0046da0be19f1a2b44d07b8bc32f283df8ea9ddca6e3495dd72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b06e9dfd2de614399623302e21520a2cb1ddb3124d133705f96ae93ba173f6bb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-21T14:25:17Z",
    "title_canon_sha256": "b1fda06884295e9d5ba108b72d9a03d1317710c1d09670ac6458962dda6051a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4669",
    "kind": "arxiv",
    "version": 2
  }
}