Pith Number

pith:3VPVKJ3W

pith:2010:3VPVKJ3WQ7IPGNPJFELOHVLZTL

not attested not anchored not stored refs pending

Collective motion of active Brownian particles in one dimension

Pawel Romanczuk, Udo Erdmann

arxiv:1008.1749 v1 · 2010-08-10 · 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{3VPVKJ3WQ7IPGNPJFELOHVLZTL}

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	2026-05-18T02:05:49.723355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5f55277687d0f335e92916e3d5799ac1f67b0ad2debaa91c5a0b81de4e1220

Aliases

arxiv: 1008.1749 · arxiv_version: 1008.1749v1 · doi: 10.48550/arxiv.1008.1749 · pith_short_12: 3VPVKJ3WQ7IP · pith_short_16: 3VPVKJ3WQ7IPGNPJ · pith_short_8: 3VPVKJ3W

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/3VPVKJ3WQ7IPGNPJFELOHVLZTL \
  | 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: dd5f55277687d0f335e92916e3d5799ac1f67b0ad2debaa91c5a0b81de4e1220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8211fe56494d36e65a509a6e9befef94bb44d5042c75e56e010d286f1ffa285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-08-10T16:18:53Z",
    "title_canon_sha256": "3ceabc6a533e5112a4720a7fa0df773a3cbe244590d6aaba96abd287d68677b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1749",
    "kind": "arxiv",
    "version": 1
  }
}