Pith Number

pith:UP7K5NEA

pith:2022:UP7K5NEA5P5SXDFHO66ATJM6BJ

not attested not anchored not stored refs pending

Enriched toric $[\vec{D}]$-partitions

Jinting Liang

arxiv:2209.00051 v2 · 2022-08-31 · 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{UP7K5NEA5P5SXDFHO66ATJM6BJ}

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	2026-07-05T04:55:53.937706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3feaeb480ebfb2b8ca777bc09a59e0a743ea895a96a30899ddf34d6c2fd530f

Aliases

arxiv: 2209.00051 · arxiv_version: 2209.00051v2 · doi: 10.48550/arxiv.2209.00051 · pith_short_12: UP7K5NEA5P5S · pith_short_16: UP7K5NEA5P5SXDFH · pith_short_8: UP7K5NEA

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/UP7K5NEA5P5SXDFHO66ATJM6BJ \
  | 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: a3feaeb480ebfb2b8ca777bc09a59e0a743ea895a96a30899ddf34d6c2fd530f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b3ad565edc286627692b786282fea7a72a506bf914fa2fbd7ddcf7d60d9058",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-08-31T18:19:13Z",
    "title_canon_sha256": "97d1d420492a582f7d454a6f252a0818251cf2fcd2372bce7982116b53f53a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.00051",
    "kind": "arxiv",
    "version": 2
  }
}