Pith Number

pith:NJRI3V6B

pith:2016:NJRI3V6BDRWDJ5RVWW33W65GPZ

not attested not anchored not stored refs pending

Chapman-Enskog expansion for the Vicsek model of self-propelled particles

Thomas Ihle

arxiv:1605.03953 v2 · 2016-05-12 · cond-mat.stat-mech · cond-mat.soft · physics.bio-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJRI3V6BDRWDJ5RVWW33W65GPZ}

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	2026-05-18T00:44:13.796262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a628dd7c11c6c34f635b5b7bb7ba67e4264462472416443bc81707f0eb696cf

Aliases

arxiv: 1605.03953 · arxiv_version: 1605.03953v2 · doi: 10.48550/arxiv.1605.03953 · pith_short_12: NJRI3V6BDRWD · pith_short_16: NJRI3V6BDRWDJ5RV · pith_short_8: NJRI3V6B

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/NJRI3V6BDRWDJ5RVWW33W65GPZ \
  | 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: 6a628dd7c11c6c34f635b5b7bb7ba67e4264462472416443bc81707f0eb696cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017ceb02da9b351c18616547257a85f394bcf8cf17d70c44d3ebe6da2d8ef738",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.bio-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-12T19:52:48Z",
    "title_canon_sha256": "4db3244563594489076235c7a7e6006ae38e9299ad6ced3d7b993ad10ba88ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03953",
    "kind": "arxiv",
    "version": 2
  }
}