Pith Number

pith:5QI3JEEB

pith:2009:5QI3JEEBTRJGOYOR7O3XGIICBL

not attested not anchored not stored refs pending

On random topological Markov chains with big images and preimages

Manuel Stadlbauer

arxiv:0904.4630 v3 · 2009-04-29 · math.DS · 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{5QI3JEEBTRJGOYOR7O3XGIICBL}

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	2026-05-18T03:03:55.533510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec11b490819c526761d1fbb77321020ae3a1205e82a1f3568be049a6a9c0a273

Aliases

arxiv: 0904.4630 · arxiv_version: 0904.4630v3 · doi: 10.48550/arxiv.0904.4630 · pith_short_12: 5QI3JEEBTRJG · pith_short_16: 5QI3JEEBTRJGOYOR · pith_short_8: 5QI3JEEB

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/5QI3JEEBTRJGOYOR7O3XGIICBL \
  | 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: ec11b490819c526761d1fbb77321020ae3a1205e82a1f3568be049a6a9c0a273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5243233f1add0b8f551cf661f2667a62885644e5d021cdcd227c395033aff37",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-04-29T15:03:50Z",
    "title_canon_sha256": "4ed665adfdd8737d393d6ec4f2a47f6c710d9223a47beb66703109e0e7088490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4630",
    "kind": "arxiv",
    "version": 3
  }
}