Pith Number

pith:KZC5ZWZQ

pith:2014:KZC5ZWZQD56RBZ2JCWGFYXIKOG

not attested not anchored not stored refs pending

Some minimal elements for a partial order of prime knots

Masaaki Suzuki, Teruaki Kitano

arxiv:1412.3168 v1 · 2014-12-10 · 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{KZC5ZWZQD56RBZ2JCWGFYXIKOG}

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	2026-05-18T02:31:37.373445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5645dcdb301f7d10e749158c5c5d0a719de65a557326846505b5191bac8efd18

Aliases

arxiv: 1412.3168 · arxiv_version: 1412.3168v1 · doi: 10.48550/arxiv.1412.3168 · pith_short_12: KZC5ZWZQD56R · pith_short_16: KZC5ZWZQD56RBZ2J · pith_short_8: KZC5ZWZQ

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/KZC5ZWZQD56RBZ2JCWGFYXIKOG \
  | 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: 5645dcdb301f7d10e749158c5c5d0a719de65a557326846505b5191bac8efd18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f12d4040e33c86d6557d2e6978786abdce1d13a5b8e6c628614de3fc68c477c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-10T01:05:39Z",
    "title_canon_sha256": "7691290f7c4b94022ceaa0c0f05f03ee07c8f6d7eed86fd3af8bc25935f03681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3168",
    "kind": "arxiv",
    "version": 1
  }
}