Pith Number

pith:M5WEMCUW

pith:2000:M5WEMCUWPNN4E5MMUHA4SINK7P

not attested not anchored not stored refs pending

Comment on: Modular Theory and Geometry

Kurusch Ebrahimi-Fard

arxiv:math-ph/0011049 v3 · 2000-11-28 · math-ph · hep-th · 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{M5WEMCUWPNN4E5MMUHA4SINK7P}

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	2026-05-18T01:38:34.576892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676c460a967b5bc2758ca1c1c921aafbe022b8fca7bbe7fc4790ca604602b7e0

Aliases

arxiv: math-ph/0011049 · arxiv_version: math-ph/0011049v3 · doi: 10.48550/arxiv.math-ph/0011049 · pith_short_12: M5WEMCUWPNN4 · pith_short_16: M5WEMCUWPNN4E5MM · pith_short_8: M5WEMCUW

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/M5WEMCUWPNN4E5MMUHA4SINK7P \
  | 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: 676c460a967b5bc2758ca1c1c921aafbe022b8fca7bbe7fc4790ca604602b7e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8185129334d774748c62c8235a0a14e70cd6e289992dded88ed4ee6a60d0f5f",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-11-28T23:20:36Z",
    "title_canon_sha256": "566b25b38a407d7363c18b7c95505c3e573ab9a840a336c9b29b07314ed83a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0011049",
    "kind": "arxiv",
    "version": 3
  }
}