Pith Number

pith:V6FLLQJX

pith:2020:V6FLLQJXEHP2EIYDX3MT65GJKW

not attested not anchored not stored refs pending

Topological Recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots

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

arxiv:2010.11021 v1 · 2020-10-21 · math-ph · hep-th · math.AG · math.CO · math.GT · 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{V6FLLQJXEHP2EIYDX3MT65GJKW}

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

Quantum Curves in the Context of Symplectic Duality

Receipt and verification

First computed	2026-07-05T05:45:23.215440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8ab5c13721dfa22303bed93f74c9559954c361096d6c1793f45244048b3b81

Aliases

arxiv: 2010.11021 · arxiv_version: 2010.11021v1 · doi: 10.48550/arxiv.2010.11021 · pith_short_12: V6FLLQJXEHP2 · pith_short_16: V6FLLQJXEHP2EIYD · pith_short_8: V6FLLQJX

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/V6FLLQJXEHP2EIYDX3MT65GJKW \
  | 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: af8ab5c13721dfa22303bed93f74c9559954c361096d6c1793f45244048b3b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddec49d54246dab3b573ca6a5ae5b32688b7b6db274b6b316889347284b1465d",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.CO",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-10-21T14:09:08Z",
    "title_canon_sha256": "2e0f5f7ec8e78b9a28f6fcb8eebe98c9376dbce0b7301ce6ffb7ce171b24ebd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11021",
    "kind": "arxiv",
    "version": 1
  }
}