Pith Number

pith:2PKAEZTI

pith:2005:2PKAEZTIHP7OTTSBCW4GH6BB3V

not attested not anchored not stored refs pending

Quantum fields and motives

Alain Connes (College de France), Matilde Marcolli (MPIM Bonn)

arxiv:hep-th/0504085 v1 · 2005-04-09 · hep-th · 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{2PKAEZTIHP7OTTSBCW4GH6BB3V}

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	2026-05-18T01:38:45.733669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff

Aliases

arxiv: hep-th/0504085 · arxiv_version: hep-th/0504085v1 · doi: 10.48550/arxiv.hep-th/0504085 · pith_short_12: 2PKAEZTIHP7O · pith_short_16: 2PKAEZTIHP7OTTSB · pith_short_8: 2PKAEZTI

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/2PKAEZTIHP7OTTSBCW4GH6BB3V \
  | 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: d3d40266683bfee9ce4115b863f821dd51b824a2cc95e85d093a2fab2f69c8ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317fa54330adb389d49abbd39df7012127b47f2d320b372a663579c2c5e93128",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-04-09T20:17:01Z",
    "title_canon_sha256": "f2c07eadad83d996626e0121c0f7f9701db92c6f95208ce61c2ff609ea377e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0504085",
    "kind": "arxiv",
    "version": 1
  }
}