Pith Number

pith:WPUCRIEC

pith:2010:WPUCRIEC3DIB2ZE4QRZ7PDLJSY

not attested not anchored not stored refs pending

Escape rates for Gibbs measures

Andrew Ferguson, Mark Pollicott

arxiv:1009.0086 v2 · 2010-09-01 · 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{WPUCRIEC3DIB2ZE4QRZ7PDLJSY}

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	2026-05-18T04:27:17.877069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e828a082d8d01d649c8473f78d69961950b8ba43aa32763453da2192b718b4

Aliases

arxiv: 1009.0086 · arxiv_version: 1009.0086v2 · doi: 10.48550/arxiv.1009.0086 · pith_short_12: WPUCRIEC3DIB · pith_short_16: WPUCRIEC3DIB2ZE4 · pith_short_8: WPUCRIEC

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/WPUCRIEC3DIB2ZE4QRZ7PDLJSY \
  | 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: b3e828a082d8d01d649c8473f78d69961950b8ba43aa32763453da2192b718b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306d9674a14e0b8d71132dde13c2cc6a696cb063cf4be98d3ca9aa302bb1baf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-01T04:13:10Z",
    "title_canon_sha256": "a8696cdbd65aee1390b9248528727b088dfc56969112858e51cc371ab5ae6c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0086",
    "kind": "arxiv",
    "version": 2
  }
}