Pith Number

pith:LTH4IZF5

pith:2024:LTH4IZF5ZMYQYTY2TWZYN2PQEE

not attested not anchored not stored refs pending

Counterexamples to Zagier's Duality Conjecture on Nahm Sums

Liuquan Wang

arxiv:2411.09701 v4 · 2024-11-14 · math.NT · 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{LTH4IZF5ZMYQYTY2TWZYN2PQEE}

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

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation

Receipt and verification

First computed	2026-07-05T10:00:43.425172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ccfc464bdcb310c4f1a9db386e9f021281eb4d3e5365448fad7e959dd65354d

Aliases

arxiv: 2411.09701 · arxiv_version: 2411.09701v4 · doi: 10.48550/arxiv.2411.09701 · pith_short_12: LTH4IZF5ZMYQ · pith_short_16: LTH4IZF5ZMYQYTY2 · pith_short_8: LTH4IZF5

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/LTH4IZF5ZMYQYTY2TWZYN2PQEE \
  | 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: 5ccfc464bdcb310c4f1a9db386e9f021281eb4d3e5365448fad7e959dd65354d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2679eba2694554340cc778193478796d3af946a01c3093d881eca9d87588b518",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-14T18:59:36Z",
    "title_canon_sha256": "06f525a9d7533f5b587df1f890872bd3910b6ac5fc4d8901544ae6ced0ac69ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09701",
    "kind": "arxiv",
    "version": 4
  }
}