Pith Number

pith:IGKVQQIG

pith:2005:IGKVQQIGRKZHLV2UWTS7FOIUVK

not attested not anchored not stored refs pending

Lefschetz-Pontrjagin Duality for Differential Characters

F. Reese Harvey, H. Blaine Lawson Jr

arxiv:math/0512528 v1 · 2005-12-22 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGKVQQIGRKZHLV2UWTS7FOIUVK}

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	2026-05-18T00:22:49.539677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41955841068ab275d754b4e5f2b914aa8bd70947f8cffd012340836a26292493

Aliases

arxiv: math/0512528 · arxiv_version: math/0512528v1 · doi: 10.48550/arxiv.math/0512528 · pith_short_12: IGKVQQIGRKZH · pith_short_16: IGKVQQIGRKZHLV2U · pith_short_8: IGKVQQIG

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/IGKVQQIGRKZHLV2UWTS7FOIUVK \
  | 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: 41955841068ab275d754b4e5f2b914aa8bd70947f8cffd012340836a26292493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0becbd333d3bf71c725f6895b6ddcd34f44835215d43391bdd1b65f3420be983",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-12-22T17:44:15Z",
    "title_canon_sha256": "b4875c2a2ed97c9615a89110c5c002016d73c88654554b5ca567e707057a50a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512528",
    "kind": "arxiv",
    "version": 1
  }
}