Pith Number

pith:3ZBLKZ2T

pith:2003:3ZBLKZ2TOON25RIWB63RVKIFY4

not attested not anchored not stored refs pending

Brownian beads

Balint Virag

arxiv:math/0305163 v2 · 2003-05-12 · math.PR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZBLKZ2TOON25RIWB63RVKIFY4}

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	2026-05-18T04:08:43.073103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de42b56753739baec5160fb71aa905c7166a2b0e43962492e1016001b7e383a7

Aliases

arxiv: math/0305163 · arxiv_version: math/0305163v2 · doi: 10.48550/arxiv.math/0305163 · pith_short_12: 3ZBLKZ2TOON2 · pith_short_16: 3ZBLKZ2TOON25RIW · pith_short_8: 3ZBLKZ2T

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/3ZBLKZ2TOON25RIWB63RVKIFY4 \
  | 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: de42b56753739baec5160fb71aa905c7166a2b0e43962492e1016001b7e383a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06fe3e21e1df2281dbeddf33c27c813ec46e8fdca40162f4bd172dfc193cb03d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-05-12T08:50:11Z",
    "title_canon_sha256": "063d06187b1b8fe8dc9aa0b8a65d4f6d6ad9edee4b218f340ae5819142e6f820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305163",
    "kind": "arxiv",
    "version": 2
  }
}