Pith Number

pith:7MLC5KKL

pith:2013:7MLC5KKL52QUM5UF3ZVMZ6KWHR

not attested not anchored not stored refs pending

A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula

Marc Hoyois

arxiv:1309.6147 v3 · 2013-09-24 · 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{7MLC5KKL52QUM5UF3ZVMZ6KWHR}

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	2026-05-18T02:03:38.081920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb162ea94beea1467685de6accf9563c7356e871e3780bbc67de3ca72f0c30f1

Aliases

arxiv: 1309.6147 · arxiv_version: 1309.6147v3 · doi: 10.48550/arxiv.1309.6147 · pith_short_12: 7MLC5KKL52QU · pith_short_16: 7MLC5KKL52QUM5UF · pith_short_8: 7MLC5KKL

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/7MLC5KKL52QUM5UF3ZVMZ6KWHR \
  | 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: fb162ea94beea1467685de6accf9563c7356e871e3780bbc67de3ca72f0c30f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d2406eefcb72fd8d9024c31002f557be3e5ea732bfb5c5634f58063a1f7602",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-24T13:21:05Z",
    "title_canon_sha256": "e99ac67f1bc3c710653a1b7de9ee17e055253ad0ed6671bd5b79e9d32c303c9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6147",
    "kind": "arxiv",
    "version": 3
  }
}