Pith Number

pith:STZM4BIM

pith:2011:STZM4BIMKUJ6TTMOQ4OSJITYRG

not attested not anchored not stored refs pending

Thermodynamics of viscous Matter and Radiation in the Early Universe

A. Tawfik (Egyptian Ctr. Theor. Phys., Berlin), Cairo), Cairo & Freie U., H. Magdy (Egyptian Ctr. Theor. Phys.

arxiv:1109.6469 v2 · 2011-09-29 · 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{STZM4BIMKUJ6TTMOQ4OSJITYRG}

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	2026-05-18T02:00:21.628145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f2ce050c5513e9cd8e871d24a278899ee7d2a077b21f32e9eeddf7277012a4

Aliases

arxiv: 1109.6469 · arxiv_version: 1109.6469v2 · doi: 10.48550/arxiv.1109.6469 · pith_short_12: STZM4BIMKUJ6 · pith_short_16: STZM4BIMKUJ6TTMO · pith_short_8: STZM4BIM

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/STZM4BIMKUJ6TTMOQ4OSJITYRG \
  | 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: 94f2ce050c5513e9cd8e871d24a278899ee7d2a077b21f32e9eeddf7277012a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538154b1e9285950a8823b2df04851d5f89b7ac25b790c481835043aa0380d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-29T10:45:33Z",
    "title_canon_sha256": "72759eed2888cc7c516b527ed6d14ff7c55735f10cf2e881061bfef5cddf2db1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6469",
    "kind": "arxiv",
    "version": 2
  }
}