Pith Number

pith:IYAGYTFE

pith:2017:IYAGYTFEX7NCF5BUJUUVLY7JO4

not attested not anchored not stored refs pending

Combinatorial structure of colored HOMFLY-PT polynomials for torus knots

Aleksandr Popolitov, Alexey Sleptsov, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:1712.08614 v3 · 2017-12-22 · math-ph · hep-th · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYAGYTFEX7NCF5BUJUUVLY7JO4}

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.

Cited by

1 paper in Pith

Combinatorics of Bousquet-M\'elou-Schaeffer numbers in the light of topological recursion

Receipt and verification

First computed	2026-07-05T00:27:13.227179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46006c4ca4bfda22f4344d2955e3e97706417b15a90419310d8134c896142c91

Aliases

arxiv: 1712.08614 · arxiv_version: 1712.08614v3 · doi: 10.48550/arxiv.1712.08614 · pith_short_12: IYAGYTFEX7NC · pith_short_16: IYAGYTFEX7NCF5BU · pith_short_8: IYAGYTFE

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/IYAGYTFEX7NCF5BUJUUVLY7JO4 \
  | 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: 46006c4ca4bfda22f4344d2955e3e97706417b15a90419310d8134c896142c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac2d54f6b4751d38a5c42e83865ae3103763518dfbf39c8f53e93b2c00416172",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-22T18:53:44Z",
    "title_canon_sha256": "f697ff7af38a190d8dcb9bab7a02c3734ac633d7a767f932e4b448dc05f40bf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08614",
    "kind": "arxiv",
    "version": 3
  }
}