Pith Number

pith:WCWB3PUR

pith:2013:WCWB3PURYDDXODJA4DCHK2DHFH

not attested not anchored not stored refs pending

An analogue of Cobham's theorem for graph directed iterated function systems

Emilie Charlier, Julien Leroy, Michel Rigo

arxiv:1310.0309 v3 · 2013-10-01 · math.DS · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCWB3PURYDDXODJA4DCHK2DHFH}

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	2026-05-18T03:06:21.591035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ac1dbe91c0c7770d20e0c475686729ec8a2813d843782a7a7425b8b899eccd

Aliases

arxiv: 1310.0309 · arxiv_version: 1310.0309v3 · doi: 10.48550/arxiv.1310.0309 · pith_short_12: WCWB3PURYDDX · pith_short_16: WCWB3PURYDDXODJA · pith_short_8: WCWB3PUR

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/WCWB3PURYDDXODJA4DCHK2DHFH \
  | 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: b0ac1dbe91c0c7770d20e0c475686729ec8a2813d843782a7a7425b8b899eccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce832ad5b66e229be2a856d5d8cd9b74a3a234e451f423c1e3834938c8cf5e2b",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-01T14:15:35Z",
    "title_canon_sha256": "5e680c45f11998ed5ae74451ed89c3416dcfec835065998f1946be0b0ec48926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0309",
    "kind": "arxiv",
    "version": 3
  }
}