Pith Number

pith:P7ZPTGIP

pith:2001:P7ZPTGIPK4HJUXXQ27YZE2JFIN

not attested not anchored not stored refs pending

Seiberg--Witten invariants and surface singularities

Andras Nemethi, Liviu I Nicolaescu

arxiv:math/0111298 v3 · 2001-11-29 · math.AG · 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{P7ZPTGIPK4HJUXXQ27YZE2JFIN}

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	2026-05-18T02:38:00.726371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ff2f9990f570e9a5ef0d7f192692543504d568706c59296de780f4be8d1de7d

Aliases

arxiv: math/0111298 · arxiv_version: math/0111298v3 · doi: 10.48550/arxiv.math/0111298 · pith_short_12: P7ZPTGIPK4HJ · pith_short_16: P7ZPTGIPK4HJUXXQ · pith_short_8: P7ZPTGIP

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/P7ZPTGIPK4HJUXXQ27YZE2JFIN \
  | 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: 7ff2f9990f570e9a5ef0d7f192692543504d568706c59296de780f4be8d1de7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e3357b791763129ff24849f2cc3aa7b2c2bab0a9ee92c7f1107ecd12408b767",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-11-29T00:40:29Z",
    "title_canon_sha256": "a9e7fc464c7753ebbec9b7decb6be2983cbe276f8c32af82ebb5174a898b136b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111298",
    "kind": "arxiv",
    "version": 3
  }
}