Pith Number

pith:FJISJHA2

pith:2026:FJISJHA2K575A4WIIJHGOQV7SB

not attested not anchored not stored refs pending

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

Lisa Hui Sun, Xiangyu Ding

arxiv:2606.27507 v1 · 2026-06-25 · 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{FJISJHA2K575A4WIIJHGOQV7SB}

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.

Receipt and verification

First computed	2026-06-29T00:14:08.539365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a51249c1a577fd072c8424e6742bf904b624544e2325889d3f17c654e502e7c

Aliases

arxiv: 2606.27507 · arxiv_version: 2606.27507v1 · doi: 10.48550/arxiv.2606.27507 · pith_short_12: FJISJHA2K575 · pith_short_16: FJISJHA2K575A4WI · pith_short_8: FJISJHA2

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/FJISJHA2K575A4WIIJHGOQV7SB \
  | 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: 2a51249c1a577fd072c8424e6742bf904b624544e2325889d3f17c654e502e7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1aa49b211b54b5548090855f836c93da30f1391f7c3cd5323ff7b7580d6ec9b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-25T19:39:19Z",
    "title_canon_sha256": "4b8f6484346c7d53dc8378a9f663974b6032d05e21a39a3251e793cb0553edf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27507",
    "kind": "arxiv",
    "version": 1
  }
}