Pith Number

pith:6SSSMTKY

pith:2009:6SSSMTKYAFR3HWMD3DQHDQQBI2

not attested not anchored not stored refs pending

VRRW on complete-like graphs: Almost sure behavior

Stanislav Volkov, Vlada Limic

arxiv:0904.4722 v3 · 2009-04-30 · 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{6SSSMTKYAFR3HWMD3DQHDQQBI2}

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	2026-05-18T04:35:57.307579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4a5264d580163b3d983d8e071c20146a7cb70624c36e86de3fafbc0cbb5368a

Aliases

arxiv: 0904.4722 · arxiv_version: 0904.4722v3 · doi: 10.48550/arxiv.0904.4722 · pith_short_12: 6SSSMTKYAFR3 · pith_short_16: 6SSSMTKYAFR3HWMD · pith_short_8: 6SSSMTKY

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/6SSSMTKYAFR3HWMD3DQHDQQBI2 \
  | 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: f4a5264d580163b3d983d8e071c20146a7cb70624c36e86de3fafbc0cbb5368a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a62e03707828f2120e4eeb849dc7c5c60c03c51987c6e335acb6f82486466e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-04-30T00:01:03Z",
    "title_canon_sha256": "405ce8c710574a344ee0d19609170eb0e3c3a1951954cda85b4218f2aee74851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4722",
    "kind": "arxiv",
    "version": 3
  }
}