Pith Number

pith:JAGQ7JHX

pith:2026:JAGQ7JHXP7JQKJVM6PSUYGY5RW

not attested not anchored not stored refs pending

Weighted partitions with interval restrictions: exact formulas and a bivariate master identity

Ankush Goswami, Aritram Dhar, George E. Andrews, Mohamed El Bachraoui, Runqiao Li

arxiv:2606.11011 v1 · 2026-06-09 · 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{JAGQ7JHXP7JQKJVM6PSUYGY5RW}

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	2026-06-10T01:11:03.535069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480d0fa4f77fd30526acf3e54c1b1d8db75b9a7a6c194b7c577319483075db38

Aliases

arxiv: 2606.11011 · arxiv_version: 2606.11011v1 · doi: 10.48550/arxiv.2606.11011 · pith_short_12: JAGQ7JHXP7JQ · pith_short_16: JAGQ7JHXP7JQKJVM · pith_short_8: JAGQ7JHX

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/JAGQ7JHXP7JQKJVM6PSUYGY5RW \
  | 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: 480d0fa4f77fd30526acf3e54c1b1d8db75b9a7a6c194b7c577319483075db38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15f660b100b0b31c90bf4e8e01725037293928eaccbd72399eeb75933707db31",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-09T15:52:19Z",
    "title_canon_sha256": "a5a1bb1a57f9307b3ba4dca3f791bad80b0373dc669c6e18a2552b9cf4f9130c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11011",
    "kind": "arxiv",
    "version": 1
  }
}