Pith Number

pith:BOLWWAER

pith:2004:BOLWWAERFLGWXEIUUUNPAS2EDN

not attested not anchored not stored refs pending

From Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

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

arxiv:hep-th/0411114 v1 · 2004-11-11 · hep-th · math-ph · math.AG · math.MP · math.NT · 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{BOLWWAERFLGWXEIUUUNPAS2EDN}

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.

Cited by

1 paper in Pith

Some very low-dimensional algebraic topology

Receipt and verification

First computed	2026-07-04T14:32:19.967514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b976b00912acd6b9114a51af04b441b6defc02cf24dbffefafad138359f88ac

Aliases

arxiv: hep-th/0411114 · arxiv_version: hep-th/0411114v1 · doi: 10.48550/arxiv.hep-th/0411114 · pith_short_12: BOLWWAERFLGW · pith_short_16: BOLWWAERFLGWXEIU · pith_short_8: BOLWWAER

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/BOLWWAERFLGWXEIUUUNPAS2EDN \
  | 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: 0b976b00912acd6b9114a51af04b441b6defc02cf24dbffefafad138359f88ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928ef5bbe9813bff4dea3189f7dc2e8119a906ef3734cb2a18354bcc400228ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.NT",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-11-11T08:49:17Z",
    "title_canon_sha256": "e6c5b6543306a65aeb2c67404068c940fc09538b323472061a8aa2bb98f60ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0411114",
    "kind": "arxiv",
    "version": 1
  }
}