Pith Number

pith:EU4KBC4Q

pith:2007:EU4KBC4QIXPAKKC4BCW6KVSKOQ

not attested not anchored not stored refs pending

Conformal Graph Directed Markov Systems

Andrei E. Ghenciu, R. Daniel Mauldin

arxiv:0711.1182 v1 · 2007-11-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU4KBC4QIXPAKKC4BCW6KVSKOQ}

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	2026-05-18T02:03:53.204995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2538a08b9045de05285c08ade5564a741e58f968fa844a37a3703203c378a773

Aliases

arxiv: 0711.1182 · arxiv_version: 0711.1182v1 · doi: 10.48550/arxiv.0711.1182 · pith_short_12: EU4KBC4QIXPA · pith_short_16: EU4KBC4QIXPAKKC4 · pith_short_8: EU4KBC4Q

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/EU4KBC4QIXPAKKC4BCW6KVSKOQ \
  | 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: 2538a08b9045de05285c08ade5564a741e58f968fa844a37a3703203c378a773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc9961c49015483d0ba28e8f02424f20df572bc498ba7eeec4eeafae8bc0c5cf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-11-08T19:25:12Z",
    "title_canon_sha256": "05c5dee93405beb1f72b2deea9e4d3f7bac0b84cf46e1f869af46bf48a31890c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1182",
    "kind": "arxiv",
    "version": 1
  }
}