Pith Number

pith:IM7HWRR5

pith:2001:IM7HWRR5EHAE5EB433TAXXB3NU

not attested not anchored not stored refs pending

Gibbs and Quantum Discrete Spaces

V. A. Malyshev

arxiv:gr-qc/0108068 v1 · 2001-08-28 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IM7HWRR5EHAE5EB433TAXXB3NU}

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	2026-05-18T01:39:24.135232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

433e7b463d21c04e903cdee60bdc3b6d2aa39e0b04ea3b762bbc4a5dac400031

Aliases

arxiv: gr-qc/0108068 · arxiv_version: gr-qc/0108068v1 · doi: 10.48550/arxiv.gr-qc/0108068 · pith_short_12: IM7HWRR5EHAE · pith_short_16: IM7HWRR5EHAE5EB4 · pith_short_8: IM7HWRR5

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/IM7HWRR5EHAE5EB433TAXXB3NU \
  | 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: 433e7b463d21c04e903cdee60bdc3b6d2aa39e0b04ea3b762bbc4a5dac400031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e322c0dbe6f10f2d4ee2ed44886619ec53ddcd1d82bc227bd31f222f08b388",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-08-28T10:32:09Z",
    "title_canon_sha256": "df5699c6586be2fb7811bf6e2da0de6ee9e654cfdfc447b97a0e1566520efaab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0108068",
    "kind": "arxiv",
    "version": 1
  }
}