Pith Number

pith:ZTIIVDL6

pith:2015:ZTIIVDL6BS7XVTY5LIXCI2MESI

not attested not anchored not stored refs pending

A random triadic process

Benny Sudakov, D\'aniel Kor\'andi, Yuval Peled

arxiv:1503.05072 v2 · 2015-03-15 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTIIVDL6BS7XVTY5LIXCI2MESI}

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	2026-05-18T01:28:25.810393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd08a8d7e0cbf7acf1d5a2e246984922fd488066b39750026fdd742f0d8022a

Aliases

arxiv: 1503.05072 · arxiv_version: 1503.05072v2 · doi: 10.48550/arxiv.1503.05072 · pith_short_12: ZTIIVDL6BS7X · pith_short_16: ZTIIVDL6BS7XVTY5 · pith_short_8: ZTIIVDL6

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/ZTIIVDL6BS7XVTY5LIXCI2MESI \
  | 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: ccd08a8d7e0cbf7acf1d5a2e246984922fd488066b39750026fdd742f0d8022a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc9f52c1136577512038788216b86b44edc5ff947db1d007f144dcb93e8b0d81",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-15T17:08:59Z",
    "title_canon_sha256": "5c5a09b57e5aa5c755779626c60122f5e91f42a598f0ec71e554e58ebfbee14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05072",
    "kind": "arxiv",
    "version": 2
  }
}