Pith Number

pith:S47BEUYC

pith:2005:S47BEUYCRCHMCPOGWJWRHZNNRP

not attested not anchored not stored refs pending

Random walk attracted by percolation clusters

Marina Vachkovskaia, Serguei Popov

arxiv:math/0507054 v1 · 2005-07-04 · 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{S47BEUYCRCHMCPOGWJWRHZNNRP}

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	2026-05-18T04:03:32.938500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973e125302888ec13dc6b26d13e5ad8bdc7705ae8ec9f7e31edef2bb39291858

Aliases

arxiv: math/0507054 · arxiv_version: math/0507054v1 · doi: 10.48550/arxiv.math/0507054 · pith_short_12: S47BEUYCRCHM · pith_short_16: S47BEUYCRCHMCPOG · pith_short_8: S47BEUYC

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/S47BEUYCRCHMCPOGWJWRHZNNRP \
  | 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: 973e125302888ec13dc6b26d13e5ad8bdc7705ae8ec9f7e31edef2bb39291858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac8a89b417bf0ddbefd21fd9bed2ead80cf5a17891e18d790f87d2ad252b8f0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-07-04T08:56:29Z",
    "title_canon_sha256": "82232d02ce1a1e35cc6da6040759b9becb7a41f85ae9a2726d0c16fd0456c048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507054",
    "kind": "arxiv",
    "version": 1
  }
}