Pith Number

pith:4TXDA67U

pith:2014:4TXDA67U443QZMCQUCDKT6EURY

not attested not anchored not stored refs pending

Minimum lattice length and ropelength of knots

Hyoungjun Kim, Kyungpyo Hong, Seungsang Oh, Sungjong No

arxiv:1411.1845 v1 · 2014-11-07 · 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{4TXDA67U443QZMCQUCDKT6EURY}

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	2026-05-18T02:38:25.809969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ee307bf4e7370cb050a086a9f8948e291d09366771550c81fb006a41dd217a

Aliases

arxiv: 1411.1845 · arxiv_version: 1411.1845v1 · doi: 10.48550/arxiv.1411.1845 · pith_short_12: 4TXDA67U443Q · pith_short_16: 4TXDA67U443QZMCQ · pith_short_8: 4TXDA67U

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/4TXDA67U443QZMCQUCDKT6EURY \
  | 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: e4ee307bf4e7370cb050a086a9f8948e291d09366771550c81fb006a41dd217a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4517b63f4192c3676c992641e44f746a7fa5d43a1fb628447b5b981a0ee43736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-07T06:44:35Z",
    "title_canon_sha256": "dba2828a38537a97e96182344da0a077885ffe03f447be657db00b655722bbef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1845",
    "kind": "arxiv",
    "version": 1
  }
}