Pith Number

pith:3WPD4Q35

pith:2011:3WPD4Q352BZOQWP6QCY7BTN5BC

not attested not anchored not stored refs pending

Equilibrium states beyond specification and the Bowen property

Daniel J. Thompson, Vaughn Climenhaga

arxiv:1106.3575 v2 · 2011-06-17 · 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{3WPD4Q352BZOQWP6QCY7BTN5BC}

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	2026-05-18T02:29:01.869978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9e3e437dd072e859fe80b1f0cdbd08b43236265eb5728feed832a75a758713

Aliases

arxiv: 1106.3575 · arxiv_version: 1106.3575v2 · doi: 10.48550/arxiv.1106.3575 · pith_short_12: 3WPD4Q352BZO · pith_short_16: 3WPD4Q352BZOQWP6 · pith_short_8: 3WPD4Q35

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/3WPD4Q352BZOQWP6QCY7BTN5BC \
  | 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: dd9e3e437dd072e859fe80b1f0cdbd08b43236265eb5728feed832a75a758713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22881f6f62b2f3f09825d4637b0a8008a363b5b4e4d7ea186ac8a12c9a02c06f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-17T20:46:07Z",
    "title_canon_sha256": "ba5871b56cdbfaa1f817407831a178b88ff01848182d2b0c1e4836a4f6ba4f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3575",
    "kind": "arxiv",
    "version": 2
  }
}