Pith Number

pith:FNWE6PIG

pith:2009:FNWE6PIGWVJSDWOZ6Q5LI533GS

not attested not anchored not stored refs pending

Integration of Cocycles and Lefschetz Number Formulae for Differential Operators

Ajay C. Ramadoss

arxiv:0904.1891 v3 · 2009-04-13 · math.QA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNWE6PIGWVJSDWOZ6Q5LI533GS}

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	2026-05-18T04:31:29.995428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6c4f3d06b55321d9d9f43ab4777b34959f7073b9635acee9ab324397eb786e

Aliases

arxiv: 0904.1891 · arxiv_version: 0904.1891v3 · doi: 10.48550/arxiv.0904.1891 · pith_short_12: FNWE6PIGWVJS · pith_short_16: FNWE6PIGWVJSDWOZ · pith_short_8: FNWE6PIG

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/FNWE6PIGWVJSDWOZ6Q5LI533GS \
  | 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: 2b6c4f3d06b55321d9d9f43ab4777b34959f7073b9635acee9ab324397eb786e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ced40450c607c4d8560b555f99a5b80afb06c3b04b5f4c34b0aadafd58ce43b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-04-13T00:26:18Z",
    "title_canon_sha256": "0f1afaab4c66e194dd97f40814749c3e7dff32b3667d731f72caf4c04a6e6f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1891",
    "kind": "arxiv",
    "version": 3
  }
}