Pith Number

pith:PMYPDSPK

pith:2010:PMYPDSPKJC5AZJOVDSPYOCEAVM

not attested not anchored not stored refs pending

Zero biasing and growth processes

Jason Fulman, Larry Goldstein

arxiv:1010.4759 v2 · 2010-10-22 · 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{PMYPDSPKJC5AZJOVDSPYOCEAVM}

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	2026-05-18T04:22:02.263241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b30f1c9ea48ba0ca5d51c9f870880ab3d14ec4b4786b5e81300f9d9f392dfa4

Aliases

arxiv: 1010.4759 · arxiv_version: 1010.4759v2 · doi: 10.48550/arxiv.1010.4759 · pith_short_12: PMYPDSPKJC5A · pith_short_16: PMYPDSPKJC5AZJOV · pith_short_8: PMYPDSPK

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/PMYPDSPKJC5AZJOVDSPYOCEAVM \
  | 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: 7b30f1c9ea48ba0ca5d51c9f870880ab3d14ec4b4786b5e81300f9d9f392dfa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520035b6b6df67e891a4a1355fe188298e3f6d6e18bb388cd1fd6d2a4c36ce70",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-22T17:17:16Z",
    "title_canon_sha256": "151dfe0e9291bd9aa5b75f6e38bef9c701e7e457be015bec000157dd49efa47f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4759",
    "kind": "arxiv",
    "version": 2
  }
}