Pith Number

pith:ZWP6CCQM

pith:2010:ZWP6CCQM5PPU67GQ6E7QCSPCAG

not attested not anchored not stored refs pending

A representation formula for large deviations rate functionals of invariant measures on the one dimensional torus

A. Faggionato, D. Gabrielli

arxiv:1001.5160 v2 · 2010-01-28 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWP6CCQM5PPU67GQ6E7QCSPCAG}

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	2026-05-18T04:39:38.993848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd9fe10a0cebdf4f7cd0f13f0149e20187c351a92babd08a4d434309140903bd

Aliases

arxiv: 1001.5160 · arxiv_version: 1001.5160v2 · doi: 10.48550/arxiv.1001.5160 · pith_short_12: ZWP6CCQM5PPU · pith_short_16: ZWP6CCQM5PPU67GQ · pith_short_8: ZWP6CCQM

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/ZWP6CCQM5PPU67GQ6E7QCSPCAG \
  | 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: cd9fe10a0cebdf4f7cd0f13f0149e20187c351a92babd08a4d434309140903bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1b139f3c1423536a1d0febaf65f3e68e89362658331f7548ef80ca77397120e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-28T12:11:19Z",
    "title_canon_sha256": "57ddf2a1376e89c3655927727134102075ee4d060aacd26040edc6501b433e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5160",
    "kind": "arxiv",
    "version": 2
  }
}