Pith Number

pith:4RCC7K3X

pith:2015:4RCC7K3X2RSB6RO3GPMUGUWKGC

not attested not anchored not stored refs pending

Signature and concordance of positive knots

Livio Liechti, Pierre Dehornoy, Sebastian Baader

arxiv:1503.01946 v2 · 2015-03-06 · 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{4RCC7K3X2RSB6RO3GPMUGUWKGC}

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	2026-05-18T00:15:59.718782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4442fab77d4641f45db33d94352ca30812bce5b7ef6bd2a753f825587d8efd5

Aliases

arxiv: 1503.01946 · arxiv_version: 1503.01946v2 · doi: 10.48550/arxiv.1503.01946 · pith_short_12: 4RCC7K3X2RSB · pith_short_16: 4RCC7K3X2RSB6RO3 · pith_short_8: 4RCC7K3X

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/4RCC7K3X2RSB6RO3GPMUGUWKGC \
  | 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: e4442fab77d4641f45db33d94352ca30812bce5b7ef6bd2a753f825587d8efd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8083bc7039b493246b93e80e2ad2198e114000b9d6bb1314b93119cbed077c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-06T13:33:16Z",
    "title_canon_sha256": "96bf487ccaad8d039cb274f4d0a7d6622c53df6c628bcfd4e1c0db202acbf914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01946",
    "kind": "arxiv",
    "version": 2
  }
}