Pith Number

pith:Z4V5EQBA

pith:2011:Z4V5EQBABPLJIEKM7B2XL5G6VT

not attested not anchored not stored refs pending

Lefschetz and Hirzebruch-Riemann-Roch formulas via noncommutative motives

Denis-Charles Cisinski, Goncalo Tabuada

arxiv:1111.0257 v2 · 2011-11-01 · 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{Z4V5EQBABPLJIEKM7B2XL5G6VT}

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	2026-05-18T03:30:15.036298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf2bd240200bd694114cf87575f4deacd7a305227387276839d33ef8e6219233

Aliases

arxiv: 1111.0257 · arxiv_version: 1111.0257v2 · doi: 10.48550/arxiv.1111.0257 · pith_short_12: Z4V5EQBABPLJ · pith_short_16: Z4V5EQBABPLJIEKM · pith_short_8: Z4V5EQBA

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/Z4V5EQBABPLJIEKM7B2XL5G6VT \
  | 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: cf2bd240200bd694114cf87575f4deacd7a305227387276839d33ef8e6219233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c63e2df18525198e4041e192a4a06b83e5633ba3acfa9f9dc88e4ed6da86df36",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-01T17:56:48Z",
    "title_canon_sha256": "e2dbf5c528ace7dcd9d0e52a1216ff3b224570c62df3c42a4142d1afed42be72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0257",
    "kind": "arxiv",
    "version": 2
  }
}