Pith Number

pith:NQJN4XVG

pith:2010:NQJN4XVGMMCUAA2F3NAJC3MDLL

not attested not anchored not stored refs pending

Symmetric monoidal structure on Non-commutative motives

Denis-Charles Cisinski, Goncalo Tabuada

arxiv:1001.0228 v2 · 2010-01-03 · math.KT · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQJN4XVGMMCUAA2F3NAJC3MDLL}

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

Iterated traces in 2-categories and Lefschetz theorems

Receipt and verification

First computed	2026-07-04T17:20:57.530153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c12de5ea66305400345db40916d835afc74fe3ea61fb769d0ba8479ac916786

Aliases

arxiv: 1001.0228 · arxiv_version: 1001.0228v2 · doi: 10.48550/arxiv.1001.0228 · pith_short_12: NQJN4XVGMMCU · pith_short_16: NQJN4XVGMMCUAA2F · pith_short_8: NQJN4XVG

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/NQJN4XVGMMCUAA2F3NAJC3MDLL \
  | 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: 6c12de5ea66305400345db40916d835afc74fe3ea61fb769d0ba8479ac916786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba7e5055ee57ed0815b49afc161e974558bf6cc8b626ffad6523a689adcd55a0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-01-03T15:44:43Z",
    "title_canon_sha256": "32a655c00dddd64c5107059b0599d188d125ff462b76bfd764574466a7f570d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0228",
    "kind": "arxiv",
    "version": 2
  }
}