Pith Number

pith:FVELNXCG

pith:2011:FVELNXCGZRVUY7722SWAJ23Z7T

not attested not anchored not stored refs pending

A Brownian particle in a microscopic periodic potential

Jeremy Clark, Lo\"ic Dubois

arxiv:1110.0688 v2 · 2011-10-04 · math-ph · math.MP · 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{FVELNXCGZRVUY7722SWAJ23Z7T}

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	2026-05-18T02:00:18.189679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d48b6dc46cc6b4c7ffad4ac04eb79fcff838d2a4e4a33b5293ba21bebd39004

Aliases

arxiv: 1110.0688 · arxiv_version: 1110.0688v2 · doi: 10.48550/arxiv.1110.0688 · pith_short_12: FVELNXCGZRVU · pith_short_16: FVELNXCGZRVUY772 · pith_short_8: FVELNXCG

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/FVELNXCGZRVUY7722SWAJ23Z7T \
  | 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: 2d48b6dc46cc6b4c7ffad4ac04eb79fcff838d2a4e4a33b5293ba21bebd39004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b08585781466d02cf2f17789c24cf5efd42961fd62b0f9da8e9c0a915c7e4f",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-04T13:57:37Z",
    "title_canon_sha256": "ab58686c8280a055bf60f45265e09b9dcefe8b07cc27cba89075e83f5bd729c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0688",
    "kind": "arxiv",
    "version": 2
  }
}