Pith Number

pith:6AWAPD6Q

pith:2013:6AWAPD6Q2LCZTAGC4DP7XDK6AD

not attested not anchored not stored refs pending

An integral representation for topological pressure in terms of conditional probabilities

Brian Marcus, Ronnie Pavlov

arxiv:1309.1873 v2 · 2013-09-07 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AWAPD6Q2LCZTAGC4DP7XDK6AD}

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	2026-05-18T03:02:34.544782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02c078fd0d2c59980c2e0dffb8d5e00f5106b9b89e0b5abf479651e4208cb88

Aliases

arxiv: 1309.1873 · arxiv_version: 1309.1873v2 · doi: 10.48550/arxiv.1309.1873 · pith_short_12: 6AWAPD6Q2LCZ · pith_short_16: 6AWAPD6Q2LCZTAGC · pith_short_8: 6AWAPD6Q

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/6AWAPD6Q2LCZTAGC4DP7XDK6AD \
  | 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: f02c078fd0d2c59980c2e0dffb8d5e00f5106b9b89e0b5abf479651e4208cb88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da4da87195f55407fd3fc2a542ebdd7c6e64033383c1c2c96b7397c98ad797b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-07T14:56:03Z",
    "title_canon_sha256": "11f50cc0c77bb24ac5b5f31a21b3a3cc62faa8fced39f42f0d72b2ac40f9ef32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1873",
    "kind": "arxiv",
    "version": 2
  }
}