Pith Number

pith:LSYWDPEG

pith:2014:LSYWDPEGURFKBRC5U3YCBFZ2J4

not attested not anchored not stored refs pending

A Boltzmann model for rod alignment and schooling fish

Bernt Wennberg, Eric A. Carlen, Maria C.Carvalho, Pierre Degond

arxiv:1404.3086 v1 · 2014-04-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSYWDPEGURFKBRC5U3YCBFZ2J4}

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	2026-05-18T01:55:08.655021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb161bc86a44aa0c45da6f020973a4f0f733db0e26a1979960535657f5d7d2d

Aliases

arxiv: 1404.3086 · arxiv_version: 1404.3086v1 · doi: 10.48550/arxiv.1404.3086 · pith_short_12: LSYWDPEGURFK · pith_short_16: LSYWDPEGURFKBRC5 · pith_short_8: LSYWDPEG

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/LSYWDPEGURFKBRC5U3YCBFZ2J4 \
  | 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: 5cb161bc86a44aa0c45da6f020973a4f0f733db0e26a1979960535657f5d7d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab0c9fea120383fae5c512dd76b47d47f115a8c2d627d0adcb29b20aab7b32df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-11T12:03:26Z",
    "title_canon_sha256": "54d820f3c5ebdb6792d4e034403b4d12be0c8949bf0602362c872e419b2c7531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3086",
    "kind": "arxiv",
    "version": 1
  }
}