Pith Number

pith:NGKGHO2S

pith:2012:NGKGHO2S2PCHTQCHZP3EMECKVW

not attested not anchored not stored refs pending

Seifert surfaces distinguished by sutured Floer homology but not its Euler characteristic

Faramarz Vafaee

arxiv:1204.2452 v1 · 2012-04-11 · 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{NGKGHO2S2PCHTQCHZP3EMECKVW}

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	2026-05-18T00:26:09.294984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699463bb52d3c479c047cbf646104aadb23a34e6bbd179c6db686e7f8b8b5cab

Aliases

arxiv: 1204.2452 · arxiv_version: 1204.2452v1 · doi: 10.48550/arxiv.1204.2452 · pith_short_12: NGKGHO2S2PCH · pith_short_16: NGKGHO2S2PCHTQCH · pith_short_8: NGKGHO2S

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/NGKGHO2S2PCHTQCHZP3EMECKVW \
  | 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: 699463bb52d3c479c047cbf646104aadb23a34e6bbd179c6db686e7f8b8b5cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8967a1c6f4ac2548417a2742b018e3f62b373313b060a113fd536d1ea7be8d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-11T14:26:31Z",
    "title_canon_sha256": "ce089a50617818676dd1e878895ce17a9169d5cfda1a383c97577779e7de1182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2452",
    "kind": "arxiv",
    "version": 1
  }
}