Pith Number

pith:UTQLP3KR

pith:2014:UTQLP3KRP5YMRIV3WDATRTUBAI

not attested not anchored not stored refs pending

The topological strong spatial mixing property and new conditions for pressure approximation

Raimundo Brice\~no

arxiv:1411.2289 v1 · 2014-11-09 · math.DS · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTQLP3KRP5YMRIV3WDATRTUBAI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:38:07.924479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4e0b7ed517f70c8a2bbb0c138ce81020227ca0acbd368f1f7e6d4cb9c7375c0

Aliases

arxiv: 1411.2289 · arxiv_version: 1411.2289v1 · doi: 10.48550/arxiv.1411.2289 · pith_short_12: UTQLP3KRP5YM · pith_short_16: UTQLP3KRP5YMRIV3 · pith_short_8: UTQLP3KR

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/UTQLP3KRP5YMRIV3WDATRTUBAI \
  | 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: a4e0b7ed517f70c8a2bbb0c138ce81020227ca0acbd368f1f7e6d4cb9c7375c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e7eabe5ac2a4f8b356f25c1a36a036010ae35bacc8eb16ef450b681e58aedc7",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-09T22:04:06Z",
    "title_canon_sha256": "075ce3ebc3099fa554d2bd0139b0d1f002dd89559e6fdd65eb9c872345188ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2289",
    "kind": "arxiv",
    "version": 1
  }
}