Pith Number

pith:YZAYN7D3

pith:2015:YZAYN7D3TGA5OOSWLBY7G2NHAQ

not attested not anchored not stored refs pending

Degree Sequence of Random Permutation Graphs

Bhaswar B. Bhattacharya, Sumit Mukherjee

arxiv:1503.03582 v1 · 2015-03-12 · math.PR · 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{YZAYN7D3TGA5OOSWLBY7G2NHAQ}

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	2026-05-18T00:23:57.506413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c64186fc7b9981d73a565871f369a70430fb5c56f5d22251e756efb06dc42fba

Aliases

arxiv: 1503.03582 · arxiv_version: 1503.03582v1 · doi: 10.48550/arxiv.1503.03582 · pith_short_12: YZAYN7D3TGA5 · pith_short_16: YZAYN7D3TGA5OOSW · pith_short_8: YZAYN7D3

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/YZAYN7D3TGA5OOSWLBY7G2NHAQ \
  | 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: c64186fc7b9981d73a565871f369a70430fb5c56f5d22251e756efb06dc42fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3921163bcae71ba03088c83b1e6b19c17f291aac6ac15014337a4511bf8e1540",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-12T04:27:44Z",
    "title_canon_sha256": "b7d4bdf67454b2e3cd0a54e1542b5d7d15fba8d44934ddb780aa147f3afdd13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03582",
    "kind": "arxiv",
    "version": 1
  }
}