Pith Number

pith:7XAZKJA4

pith:2006:7XAZKJA4LNGHGSKVJZBIMHPU3B

not attested not anchored not stored refs pending

Twisted Alexander polynomials and symplectic structures

Stefan Friedl, Stefano Vidussi

arxiv:math/0604398 v3 · 2006-04-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XAZKJA4LNGHGSKVJZBIMHPU3B}

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	2026-05-17T23:57:44.775603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdc195241c5b4c7349554e42861df4d84c809eeca2563446ea85393b5ffa1ecc

Aliases

arxiv: math/0604398 · arxiv_version: math/0604398v3 · doi: 10.48550/arxiv.math/0604398 · pith_short_12: 7XAZKJA4LNGH · pith_short_16: 7XAZKJA4LNGHGSKV · pith_short_8: 7XAZKJA4

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/7XAZKJA4LNGHGSKVJZBIMHPU3B \
  | 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: fdc195241c5b4c7349554e42861df4d84c809eeca2563446ea85393b5ffa1ecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529b634c55793c30124b131217b9075efd3eb9614a1408c982e745feb3d306cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-04-18T19:11:38Z",
    "title_canon_sha256": "2a03073cdf0318601e59d2a65dbe492e514c42e813d94086d586056ed6716de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604398",
    "kind": "arxiv",
    "version": 3
  }
}