Pith Number

pith:IWGQBG46

pith:2014:IWGQBG46KPDYVH24RBBRZIC54M

not attested not anchored not stored refs pending

Non-orientable genus of knots in punctured Spin 4-manifolds

Kouki Sato

arxiv:1411.4803 v1 · 2014-11-18 · 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{IWGQBG46KPDYVH24RBBRZIC54M}

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	2026-05-17T23:56:00.989861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

458d009b9e53c78a9f5c88431ca05de325d0c9e35fd68a02c43e7f886fb4e287

Aliases

arxiv: 1411.4803 · arxiv_version: 1411.4803v1 · doi: 10.48550/arxiv.1411.4803 · pith_short_12: IWGQBG46KPDY · pith_short_16: IWGQBG46KPDYVH24 · pith_short_8: IWGQBG46

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/IWGQBG46KPDYVH24RBBRZIC54M \
  | 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: 458d009b9e53c78a9f5c88431ca05de325d0c9e35fd68a02c43e7f886fb4e287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79a3a36b3bf42b2305b3c4f012adda16b9bd68d3eb478dee574a81a458490c27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-18T10:59:18Z",
    "title_canon_sha256": "8c8fe5edf3fd1b3f9989863bdfd706aec2802c992dea133a6a80fe71f6709d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4803",
    "kind": "arxiv",
    "version": 1
  }
}