Pith Number

pith:5P5NZIKB

pith:2017:5P5NZIKB6SXSXWI44TKJRMSV64

not attested not anchored not stored refs pending

Combinatorics of involutive divisions

Michela Ceria

arxiv:1707.02452 v1 · 2017-07-08 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5P5NZIKB6SXSXWI44TKJRMSV64}

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	2026-05-18T00:40:36.846575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfadca141f4af2bd91ce4d498b255f72cdec6b564ff3cc7b77636b6a328b501

Aliases

arxiv: 1707.02452 · arxiv_version: 1707.02452v1 · doi: 10.48550/arxiv.1707.02452 · pith_short_12: 5P5NZIKB6SXS · pith_short_16: 5P5NZIKB6SXSXWI4 · pith_short_8: 5P5NZIKB

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/5P5NZIKB6SXSXWI44TKJRMSV64 \
  | 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: ebfadca141f4af2bd91ce4d498b255f72cdec6b564ff3cc7b77636b6a328b501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3bacd0fe6e6dfc142a81535a7a37afb176d0ed3b42dee86d48c98c9a3b9cfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-08T15:11:02Z",
    "title_canon_sha256": "6d160a0fc7b6b167dba65a9dc72f8d81e640eccbea055ab9ec668982ad5f43fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02452",
    "kind": "arxiv",
    "version": 1
  }
}