Pith Number

pith:T75XEBFN

pith:2024:T75XEBFNG3BJ6EM5GZAIFG4T3D

not attested not anchored not stored refs pending

Proof of Merca's stronger conjecture on truncated Jacobi triple product series

Lisa Hui Sun, Xiangyu Ding

arxiv:2411.13818 v3 · 2024-11-21 · math.NT · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T75XEBFNG3BJ6EM5GZAIFG4T3D}

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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

2 papers in Pith

Minimal excludant integer and bilateral truncated Jacobi triple product identity

A combinatorial proof for the positivity of the normalized Jacobi triple product tails

Receipt and verification

First computed	2026-07-05T11:15:18.429520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ffb7204ad36c29f119d3640829b93d8cd0ac29f7d7a2bf03196378cef533775

Aliases

arxiv: 2411.13818 · arxiv_version: 2411.13818v3 · doi: 10.48550/arxiv.2411.13818 · pith_short_12: T75XEBFNG3BJ · pith_short_16: T75XEBFNG3BJ6EM5 · pith_short_8: T75XEBFN

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/T75XEBFNG3BJ6EM5GZAIFG4T3D \
  | 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: 9ffb7204ad36c29f119d3640829b93d8cd0ac29f7d7a2bf03196378cef533775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba47fcd0f1a23838c12a1697dd0ee9a3de398f0021869472a9111c4be022ff2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-21T03:48:27Z",
    "title_canon_sha256": "9390d698914ea3cd583de1e1aae558affed5ed38bb331d27dafa7f506571ba46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13818",
    "kind": "arxiv",
    "version": 3
  }
}