Pith Number

pith:ON3QV5BZ

pith:2026:ON3QV5BZEHFEOG32THSY3I3WOS

not attested not anchored not stored refs pending

Minimal excludant integer and bilateral truncated Jacobi triple product identity

H.X. Huang, Thomas Y. He, W.D. Deng, Y.H. Chen

arxiv:2606.24243 v1 · 2026-06-23 · 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{ON3QV5BZEHFEOG32THSY3I3WOS}

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	2026-06-24T01:14:47.837478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73770af43921ca471b7a99e58da37674bbda02950cf3390bc384b69fcebc7bb3

Aliases

arxiv: 2606.24243 · arxiv_version: 2606.24243v1 · doi: 10.48550/arxiv.2606.24243 · pith_short_12: ON3QV5BZEHFE · pith_short_16: ON3QV5BZEHFEOG32 · pith_short_8: ON3QV5BZ

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/ON3QV5BZEHFEOG32THSY3I3WOS \
  | 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: 73770af43921ca471b7a99e58da37674bbda02950cf3390bc384b69fcebc7bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b830e0498e8494e612f27feede333a849a0747ef4d5b79356eff3e8c83d367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T07:30:15Z",
    "title_canon_sha256": "a5ed17d12463740a0946b3009a6e2ca11e1d030d79af2a2cdc4a39c3f03604fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24243",
    "kind": "arxiv",
    "version": 1
  }
}