Pith Number

pith:TDDFXIHO

pith:2024:TDDFXIHO2A665VC4RQ4C5DIRNO

not attested not anchored not stored refs pending

The Briggs inequality for partitions and overpartitions

Xin-Bei Liu, Zhong-Xue Zhang

arxiv:2408.16185 v1 · 2024-08-29 · 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{TDDFXIHO2A665VC4RQ4C5DIRNO}

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	2026-07-05T09:00:27.307179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98c65ba0eed03deed45c8c382e8d116bbe3f147410b2619bb961a2ff9e85756c

Aliases

arxiv: 2408.16185 · arxiv_version: 2408.16185v1 · doi: 10.48550/arxiv.2408.16185 · pith_short_12: TDDFXIHO2A66 · pith_short_16: TDDFXIHO2A665VC4 · pith_short_8: TDDFXIHO

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/TDDFXIHO2A665VC4RQ4C5DIRNO \
  | 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: 98c65ba0eed03deed45c8c382e8d116bbe3f147410b2619bb961a2ff9e85756c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dea6218dd659228f9dfcdfa89000411c3eadc1dbe5688ed56c1a39549220849",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-29T00:49:36Z",
    "title_canon_sha256": "7ae1e6eb169308e188ac47e8e5b62f71aa3d75138733b443b64e39581b2a1891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16185",
    "kind": "arxiv",
    "version": 1
  }
}