Pith Number

pith:U3YGC2ZH

pith:2015:U3YGC2ZH72RDAJVBI5GXWOUMSQ

not attested not anchored not stored refs pending

Knots with small lattice stick numbers

Seungsang Oh, Youngsik Huh

arxiv:1512.03582 v1 · 2015-12-11 · 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{U3YGC2ZH72RDAJVBI5GXWOUMSQ}

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	2026-05-18T01:24:32.004450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f0616b27fea23026a1474d7b3a8c942d93f33a4a580279ed6756726853537f

Aliases

arxiv: 1512.03582 · arxiv_version: 1512.03582v1 · doi: 10.48550/arxiv.1512.03582 · pith_short_12: U3YGC2ZH72RD · pith_short_16: U3YGC2ZH72RDAJVB · pith_short_8: U3YGC2ZH

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/U3YGC2ZH72RDAJVBI5GXWOUMSQ \
  | 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: a6f0616b27fea23026a1474d7b3a8c942d93f33a4a580279ed6756726853537f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e0b81a009eaed1b837a64b7485b5382f4dbdfccbe4761b5a44e7f9f85664f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-11T10:37:48Z",
    "title_canon_sha256": "494acbaeb8922ddd9d04eb91d253309c274d5db69f74eb2988c023b459de1470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03582",
    "kind": "arxiv",
    "version": 1
  }
}