Pith Number

pith:ZUXXS76F

pith:2015:ZUXXS76FGFYMVIZYPPSVPO5SLL

not attested not anchored not stored refs pending

Brieskorn submanifolds, Local moves on knots, and knot products

Eiji Ogasa, Louis H. Kauffman

arxiv:1504.01229 v5 · 2015-04-06 · 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{ZUXXS76FGFYMVIZYPPSVPO5SLL}

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	2026-05-18T00:14:23.314756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd2f797fc53170caa3387be557bbb25acf903855194f815b3d44b82b5ca10825

Aliases

arxiv: 1504.01229 · arxiv_version: 1504.01229v5 · doi: 10.48550/arxiv.1504.01229 · pith_short_12: ZUXXS76FGFYM · pith_short_16: ZUXXS76FGFYMVIZY · pith_short_8: ZUXXS76F

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/ZUXXS76FGFYMVIZYPPSVPO5SLL \
  | 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: cd2f797fc53170caa3387be557bbb25acf903855194f815b3d44b82b5ca10825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e18186bb2071cec132d11e087d5e43c6f050fbd65de8b13914024d46839556d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-06T07:51:19Z",
    "title_canon_sha256": "0fd59306782a630af48a2b24fa5244797cb92bcb8baa7c182275acee64123139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01229",
    "kind": "arxiv",
    "version": 5
  }
}