Pith Number

pith:HRAXJVHT

pith:2008:HRAXJVHTZUFD6RXNUEQL7IUKPN

not attested not anchored not stored refs pending

Three types of statistics and the entropy bounds

Yi-Xin Chen, Yong Xiao

arxiv:0812.3466 v3 · 2008-12-18 · hep-th · 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{HRAXJVHTZUFD6RXNUEQL7IUKPN}

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	2026-05-18T04:12:18.921140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c4174d4f3cd0a3f46eda120bfa28a7b547251476184a5596955f81f7373f3d9

Aliases

arxiv: 0812.3466 · arxiv_version: 0812.3466v3 · doi: 10.48550/arxiv.0812.3466 · pith_short_12: HRAXJVHTZUFD · pith_short_16: HRAXJVHTZUFD6RXN · pith_short_8: HRAXJVHT

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/HRAXJVHTZUFD6RXNUEQL7IUKPN \
  | 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: 3c4174d4f3cd0a3f46eda120bfa28a7b547251476184a5596955f81f7373f3d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95ccdc388e6b3bace1c0c002461653f6709eb9066387efdad9d12a3ad0942df",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-18T06:50:55Z",
    "title_canon_sha256": "82163558240b15efd1b252a7929c919750bb4422b4314baa45d8618e8b82e7b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3466",
    "kind": "arxiv",
    "version": 3
  }
}