Pith Number

pith:MUTXRGCF

pith:2012:MUTXRGCF2ZC5ZKSIORSUD244A4

not attested not anchored not stored refs pending

Jacobians of noncommutative motives

Goncalo Tabuada, Matilde Marcolli

arxiv:1212.1118 v1 · 2012-12-05 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUTXRGCF2ZC5ZKSIORSUD244A4}

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	2026-05-18T03:39:05.798415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6527789845d645dcaa48746541eb9c073f63cc7348d6e3530dc32793bc3271fa

Aliases

arxiv: 1212.1118 · arxiv_version: 1212.1118v1 · doi: 10.48550/arxiv.1212.1118 · pith_short_12: MUTXRGCF2ZC5 · pith_short_16: MUTXRGCF2ZC5ZKSI · pith_short_8: MUTXRGCF

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/MUTXRGCF2ZC5ZKSIORSUD244A4 \
  | 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: 6527789845d645dcaa48746541eb9c073f63cc7348d6e3530dc32793bc3271fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d75ffe8e994c2d2c6e7a0511de51f82a8f19fbe77f643d58287ab065b5b2e72",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-05T18:11:33Z",
    "title_canon_sha256": "e6524dd7f65aa70a784671eb2570a251cf9d6aa7554f2cd8fbb8661e387cf5b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1118",
    "kind": "arxiv",
    "version": 1
  }
}