Pith Number

pith:5PIRXISN

pith:2019:5PIRXISNGQ5E5HPD7BTRX44VX2

not attested not anchored not stored refs pending

Labels instead of coefficients: a label bracket which dominates the Jones polynomial, the Kuperberg bracket, and the normalised arrow polynomial

A.A.Akimova, V.O.Manturov

arxiv:1907.06502 v2 · 2019-07-15 · math.GT · math.AT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PIRXISNGQ5E5HPD7BTRX44VX2}

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	2026-05-17T23:39:23.627693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd11ba24d343a4e9de3f8671bf395be8202851a03898c9838437e32f46b693a

Aliases

arxiv: 1907.06502 · arxiv_version: 1907.06502v2 · doi: 10.48550/arxiv.1907.06502 · pith_short_12: 5PIRXISNGQ5E · pith_short_16: 5PIRXISNGQ5E5HPD · pith_short_8: 5PIRXISN

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/5PIRXISNGQ5E5HPD7BTRX44VX2 \
  | 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: ebd11ba24d343a4e9de3f8671bf395be8202851a03898c9838437e32f46b693a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffb178cac455f3d764fb84c81e7ed6c1fc207d88d9f329481e02e1754a46cb5",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-15T13:41:58Z",
    "title_canon_sha256": "aa09ba1318d06a067e01d2d2e2f2799378ca02b8c0e5473a5994414acb1208cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06502",
    "kind": "arxiv",
    "version": 2
  }
}