Pith Number

pith:YXFO35SA

pith:2011:YXFO35SA2VBY27ECJC4W2JGCDJ

not attested not anchored not stored refs pending

Mean-field theory of collective motion due to velocity alignment

Lutz Schimansky-Geier, Pawel Romanczuk

arxiv:1107.1623 v2 · 2011-07-08 · cond-mat.stat-mech · q-bio.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXFO35SA2VBY27ECJC4W2JGCDJ}

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	2026-05-18T04:12:32.088209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5caedf640d5438d7c8248b96d24c21a65b2d4626b68545349900ceb0ba1bd62

Aliases

arxiv: 1107.1623 · arxiv_version: 1107.1623v2 · doi: 10.48550/arxiv.1107.1623 · pith_short_12: YXFO35SA2VBY · pith_short_16: YXFO35SA2VBY27EC · pith_short_8: YXFO35SA

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/YXFO35SA2VBY27ECJC4W2JGCDJ \
  | 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: c5caedf640d5438d7c8248b96d24c21a65b2d4626b68545349900ceb0ba1bd62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14d7fff14e09d6cb5b4dceaeb0e4b7ad6bb6ed4842381ba683c098047b71653",
    "cross_cats_sorted": [
      "q-bio.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-08T13:05:13Z",
    "title_canon_sha256": "5a2d952848bb1b4557ed7ee9566ccf0e7399701a2e4d4a354602f2beb963d9a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1623",
    "kind": "arxiv",
    "version": 2
  }
}