Pith Number

pith:A3FAG2YU

pith:2013:A3FAG2YUHJLSMLNFJRDDQNNBGR

not attested not anchored not stored refs pending

Cosmological entropy problem in the (1+3+6)-dimensional space-times with viscous processes

Kenji Tomita

arxiv:1309.5447 v3 · 2013-09-21 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3FAG2YUHJLSMLNFJRDDQNNBGR}

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	2026-05-18T02:59:08.568676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ca036b143a57262da54c463835a1344d100214f98766cc0467ec84d9cd9230

Aliases

arxiv: 1309.5447 · arxiv_version: 1309.5447v3 · doi: 10.48550/arxiv.1309.5447 · pith_short_12: A3FAG2YUHJLS · pith_short_16: A3FAG2YUHJLSMLNF · pith_short_8: A3FAG2YU

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/A3FAG2YUHJLSMLNFJRDDQNNBGR \
  | 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: 06ca036b143a57262da54c463835a1344d100214f98766cc0467ec84d9cd9230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a1ca9bc5d4ad68622afb09bb78364473e66f0ccd394f8a2f0a9147e0a5c71ec",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-21T08:10:37Z",
    "title_canon_sha256": "ee8179b9840efbcd6614ce013077de39bc939f2c17652815cf9f860907fc490b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5447",
    "kind": "arxiv",
    "version": 3
  }
}