Pith Number

pith:YG2E7HQZ

pith:2010:YG2E7HQZ72EA2YPRFK4UMMA5UG

not attested not anchored not stored refs pending

Einstein relation for reversible diffusions in random environment

Andrey Piatnitski, Nina Gantert, Pierre Mathieu

arxiv:1005.5665 v3 · 2010-05-31 · 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{YG2E7HQZ72EA2YPRFK4UMMA5UG}

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	2026-05-18T02:23:48.628399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b44f9e19fe880d61f12ab946301da198bd5e5cc02bd1c243f0ab70dfbe0b44

Aliases

arxiv: 1005.5665 · arxiv_version: 1005.5665v3 · doi: 10.48550/arxiv.1005.5665 · pith_short_12: YG2E7HQZ72EA · pith_short_16: YG2E7HQZ72EA2YPR · pith_short_8: YG2E7HQZ

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/YG2E7HQZ72EA2YPRFK4UMMA5UG \
  | 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: c1b44f9e19fe880d61f12ab946301da198bd5e5cc02bd1c243f0ab70dfbe0b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37cd62d26d62857d630b2d4843e8acf5e08b53b6477382c50541d68b8deafd0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-31T12:10:35Z",
    "title_canon_sha256": "c9df1ad18b41d54b455a48bb1e865151033b5796a5bb1ce210b5dce66e80f8db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5665",
    "kind": "arxiv",
    "version": 3
  }
}