Pith Number

pith:YCDKTFRZ

pith:2012:YCDKTFRZ4G5ZL6JSFR4QJSCZ57

not attested not anchored not stored refs pending

Observables for Brownian motion on manifolds

Pavel Castro-Villarreal

arxiv:1212.4602 v1 · 2012-12-19 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCDKTFRZ4G5ZL6JSFR4QJSCZ57}

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	2026-05-18T03:38:11.895855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c086a99639e1bb95f9322c7904c859efe951996cfaa1301ccc81f9184e5ac8b1

Aliases

arxiv: 1212.4602 · arxiv_version: 1212.4602v1 · doi: 10.48550/arxiv.1212.4602 · pith_short_12: YCDKTFRZ4G5Z · pith_short_16: YCDKTFRZ4G5ZL6JS · pith_short_8: YCDKTFRZ

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/YCDKTFRZ4G5ZL6JSFR4QJSCZ57 \
  | 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: c086a99639e1bb95f9322c7904c859efe951996cfaa1301ccc81f9184e5ac8b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684576f08dd696d7bbec3141838698d0586cce5c34ade81bf8bba9e05e45d476",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-19T09:07:22Z",
    "title_canon_sha256": "09e49d38f806996f01b53bd164a5fdc2fc71e93078763a5008201b91080561d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4602",
    "kind": "arxiv",
    "version": 1
  }
}