Pith Number

pith:FNQRNIBC

pith:2013:FNQRNIBC4FTOIV5FPYYT6KA7VN

not attested not anchored not stored refs pending

Casson-type invariants from the Seiberg-Witten equations

Daniel Ruberman, Nikolai Saveliev

arxiv:1303.2273 v2 · 2013-03-09 · 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{FNQRNIBC4FTOIV5FPYYT6KA7VN}

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	2026-05-18T03:19:45.573644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6116a022e166e457a57e313f281fab50636eb6bcd851e5c7c52db9b02e424e

Aliases

arxiv: 1303.2273 · arxiv_version: 1303.2273v2 · doi: 10.48550/arxiv.1303.2273 · pith_short_12: FNQRNIBC4FTO · pith_short_16: FNQRNIBC4FTOIV5F · pith_short_8: FNQRNIBC

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/FNQRNIBC4FTOIV5FPYYT6KA7VN \
  | 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: 2b6116a022e166e457a57e313f281fab50636eb6bcd851e5c7c52db9b02e424e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb135e79366bf6abdf1e2baa4e34f2b6ae37199d46671ea61c7fab9b7ff70ee2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-09T22:34:58Z",
    "title_canon_sha256": "56ee247b9f8b4ecae9cb5b390af5c6dd1286902cc9a9b35f0b09782eaf735aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2273",
    "kind": "arxiv",
    "version": 2
  }
}