Pith Number

pith:WZC5Y7H5

pith:2012:WZC5Y7H5FYIOU5V7DOILM3P6NZ

not attested not anchored not stored refs pending

A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds

Stefan Friedl, Stefano Vidussi

arxiv:1205.2434 v2 · 2012-05-11 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZC5Y7H5FYIOU5V7DOILM3P6NZ}

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	2026-05-18T03:49:32.474950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b645dc7cfd2e10ea76bf1b90b66dfe6e53517778569d199fbec06823afe9cde5

Aliases

arxiv: 1205.2434 · arxiv_version: 1205.2434v2 · doi: 10.48550/arxiv.1205.2434 · pith_short_12: WZC5Y7H5FYIO · pith_short_16: WZC5Y7H5FYIOU5V7 · pith_short_8: WZC5Y7H5

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/WZC5Y7H5FYIOU5V7DOILM3P6NZ \
  | 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: b645dc7cfd2e10ea76bf1b90b66dfe6e53517778569d199fbec06823afe9cde5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83fe2a2428e53b8ba7d575f08194e3c7e51e81a67fcf88d6bf4233ac5ff8d2e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-11T06:00:45Z",
    "title_canon_sha256": "20e1c78328869675e9232e4af4e139db29fb49e99deeaf6ae2a426ea8e1871e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2434",
    "kind": "arxiv",
    "version": 2
  }
}