Pith Number

pith:U5R3VWYM

pith:2009:U5R3VWYMI5CTSKZUEN2SUTZ6MB

not attested not anchored not stored refs pending

Universality in Multidimensional Symbolic Dynamics

Michael Hochman

arxiv:0901.3600 v1 · 2009-01-23 · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5R3VWYMI5CTSKZUEN2SUTZ6MB}

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	2026-05-18T02:42:15.584298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a763badb0c4745392b3423752a4f3e60682d383a3298cb0e77b51ba4d6a94f10

Aliases

arxiv: 0901.3600 · arxiv_version: 0901.3600v1 · doi: 10.48550/arxiv.0901.3600 · pith_short_12: U5R3VWYMI5CT · pith_short_16: U5R3VWYMI5CTSKZU · pith_short_8: U5R3VWYM

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/U5R3VWYMI5CTSKZUEN2SUTZ6MB \
  | 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: a763badb0c4745392b3423752a4f3e60682d383a3298cb0e77b51ba4d6a94f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffdf374c278f342ab0281b402b2e9db88fb3865813a64332dbd02a8ea66f4b3",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-01-23T04:40:01Z",
    "title_canon_sha256": "ba19a1b739f55d8e62570c74f737b43c125dc3029f740dd9f90eff56907548bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3600",
    "kind": "arxiv",
    "version": 1
  }
}