Pith Number

pith:AEB4CEDM

pith:2001:AEB4CEDMIGMOADXAYE6KEY67OJ

not attested not anchored not stored refs pending

Dirac Operators and the Calculation of the Connes Metric on arbitrary (Infinite) Graphs

Manfred Requardt

arxiv:math-ph/0108007 v1 · 2001-08-16 · math-ph · gr-qc · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEB4CEDMIGMOADXAYE6KEY67OJ}

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	2026-05-18T01:05:32.056515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0103c1106c4198e00ee0c13ca263df724cbd82669545cc0def1ced2c3eb7ad44

Aliases

arxiv: math-ph/0108007 · arxiv_version: math-ph/0108007v1 · doi: 10.48550/arxiv.math-ph/0108007 · pith_short_12: AEB4CEDMIGMO · pith_short_16: AEB4CEDMIGMOADXA · pith_short_8: AEB4CEDM

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/AEB4CEDMIGMOADXAYE6KEY67OJ \
  | 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: 0103c1106c4198e00ee0c13ca263df724cbd82669545cc0def1ced2c3eb7ad44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d0575b508345ad71672e1fe2f056eb23fbdee96d43aeb2d2929fef4698d2ad6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-08-16T09:13:01Z",
    "title_canon_sha256": "7334188e22ab5c93f771a700dc9c0b76c008ab69260e137f45d82d820b02c9a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0108007",
    "kind": "arxiv",
    "version": 1
  }
}