Pith Number

pith:M5VY3KEE

pith:2025:M5VY3KEE6LU6SLNAFHTGY3SFJY

not attested not anchored not stored refs pending

Macdonald Index From Refined Kontsevich-Soibelman Operator

Anindya Banerjee, George Andrews, Ranveer Kumar Singh, Runkai Tao

arxiv:2511.07521 v3 · 2025-11-10 · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5VY3KEE6LU6SLNAFHTGY3SFJY}

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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

Poisson Vertex Algebra of Seiberg-Witten Theory

Receipt and verification

First computed	2026-05-21T01:04:18.479384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676b8da884f2e9e92da029e66c6e454e24bac5c2ea05810c412efaf113659b4d

Aliases

arxiv: 2511.07521 · arxiv_version: 2511.07521v3 · doi: 10.48550/arxiv.2511.07521 · pith_short_12: M5VY3KEE6LU6 · pith_short_16: M5VY3KEE6LU6SLNA · pith_short_8: M5VY3KEE

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/M5VY3KEE6LU6SLNAFHTGY3SFJY \
  | 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: 676b8da884f2e9e92da029e66c6e454e24bac5c2ea05810c412efaf113659b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6211592459c7d0934b3eaed80e7237507e9bbad4dc9fb495e81790ba92d15e4c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-11-10T19:00:01Z",
    "title_canon_sha256": "6c342ffcbe3c1a4ebff872ffc0de316c58e7d4b31134c6c54088e2cbf8f6830d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.07521",
    "kind": "arxiv",
    "version": 3
  }
}