Pith Number

pith:7NR4FVGH

pith:2011:7NR4FVGHTAJ2OKNSXFI2BISQ2N

not attested not anchored not stored refs pending

Seifert fibered four-manifolds with nonzero Seiberg-Witten invariant

Weimin Chen

arxiv:1103.5681 v3 · 2011-03-29 · 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{7NR4FVGHTAJ2OKNSXFI2BISQ2N}

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	2026-05-18T04:06:56.754815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb63c2d4c79813a729b2b951a0a250d34fea67440f9a1977d8d156929360f318

Aliases

arxiv: 1103.5681 · arxiv_version: 1103.5681v3 · doi: 10.48550/arxiv.1103.5681 · pith_short_12: 7NR4FVGHTAJ2 · pith_short_16: 7NR4FVGHTAJ2OKNS · pith_short_8: 7NR4FVGH

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/7NR4FVGHTAJ2OKNSXFI2BISQ2N \
  | 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: fb63c2d4c79813a729b2b951a0a250d34fea67440f9a1977d8d156929360f318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c546ac576240a6a558e76a4cbf21b724cb926edad46e6d03018df2a5128b3597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-29T15:17:22Z",
    "title_canon_sha256": "b58cf9a980021feafbd789a2c17cb0785cbf4f687a0148b4fdbd6f08d3431320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5681",
    "kind": "arxiv",
    "version": 3
  }
}