Pith Number

pith:7X2XC6YJ

pith:2013:7X2XC6YJ6KPKJOBTT23K6RSIGX

not attested not anchored not stored refs pending

Average values of some Z-parameters in a random set partition

Anisse Kasraoui

arxiv:1304.4813 v1 · 2013-04-17 · 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{7X2XC6YJ6KPKJOBTT23K6RSIGX}

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	2026-05-18T03:27:43.609336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf5717b09f29ea4b8339eb6af464835cd0dedbe0a716d2638df101c285b6985

Aliases

arxiv: 1304.4813 · arxiv_version: 1304.4813v1 · doi: 10.48550/arxiv.1304.4813 · pith_short_12: 7X2XC6YJ6KPK · pith_short_16: 7X2XC6YJ6KPKJOBT · pith_short_8: 7X2XC6YJ

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/7X2XC6YJ6KPKJOBTT23K6RSIGX \
  | 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: fdf5717b09f29ea4b8339eb6af464835cd0dedbe0a716d2638df101c285b6985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e662b05e4e4ef583d3fb1b9847c0cb6d4361aed6165e4b66c5acf008e909e006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-17T13:26:22Z",
    "title_canon_sha256": "3cc55f493ace9d32d3c67fa1c138aa26d8b9a773c378050c1d2e0c9b5ab009f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4813",
    "kind": "arxiv",
    "version": 1
  }
}