Pith Number

pith:PCC5G55B

pith:2011:PCC5G55BH5GKSU5YEERYA342ZM

not attested not anchored not stored refs pending

Seifert fibered surgery and Rasmussen invariant

In Dae Jong, Kazuhiro Ichihara

arxiv:1102.1117 v2 · 2011-02-06 · 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{PCC5G55BH5GKSU5YEERYA342ZM}

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	2026-05-18T02:22:40.276415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7885d377a13f4ca953b82123806f9acb262697f87811ccbfd751f59e742f68cf

Aliases

arxiv: 1102.1117 · arxiv_version: 1102.1117v2 · doi: 10.48550/arxiv.1102.1117 · pith_short_12: PCC5G55BH5GK · pith_short_16: PCC5G55BH5GKSU5Y · pith_short_8: PCC5G55B

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/PCC5G55BH5GKSU5YEERYA342ZM \
  | 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: 7885d377a13f4ca953b82123806f9acb262697f87811ccbfd751f59e742f68cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e326f35a05c8211b35e42783599b9695e35e7a520d3e5557aab1c5cc0625002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-06T02:45:47Z",
    "title_canon_sha256": "c47956c53f8144f14dc59dc78c8ee867a1984218767dc3d50d8967c06ab3d0ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1117",
    "kind": "arxiv",
    "version": 2
  }
}