Pith Number

pith:FCBTIAHH

pith:2002:FCBTIAHHDSSH5NUAQYE3BJROIC

not attested not anchored not stored refs pending

Integrated density of states for random metrics on manifolds

Daniel Lenz, Ivan Veselic', Norbert Peyerimhoff

arxiv:math-ph/0212058 v1 · 2002-12-19 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCBTIAHHDSSH5NUAQYE3BJROIC}

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	2026-05-18T00:04:37.872901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28833400e71ca47eb6808609b0a62e408fecb8a3919acd08b939aa09363ac872

Aliases

arxiv: math-ph/0212058 · arxiv_version: math-ph/0212058v1 · doi: 10.48550/arxiv.math-ph/0212058 · pith_short_12: FCBTIAHHDSSH · pith_short_16: FCBTIAHHDSSH5NUA · pith_short_8: FCBTIAHH

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/FCBTIAHHDSSH5NUAQYE3BJROIC \
  | 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: 28833400e71ca47eb6808609b0a62e408fecb8a3919acd08b939aa09363ac872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086e814224726894928e48e46e8ab4c70d03aebd8bb3371d621089943a826039",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-19T05:15:59Z",
    "title_canon_sha256": "55c21ddbb03a247e20d3bf4f5e4af8a474a35348db5b6d04cd16d392f66ec57c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212058",
    "kind": "arxiv",
    "version": 1
  }
}