Pith Number

pith:ZB45KBBJ

pith:2015:ZB45KBBJBPBTXAVNANH5226TMJ

not attested not anchored not stored refs pending

A multi-layer model for self-propelled disks interacting through alignment and volume exclusion

Irma), Laurent Navoret (INRIA Nancy - Grand Est / IRMA, Pierre Degond

arxiv:1502.05936 v1 · 2015-02-19 · nlin.AO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZB45KBBJBPBTXAVNANH5226TMJ}

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	2026-05-18T02:26:44.467977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c879d504290bc33b82ad034fdd6bd3625f5057435ebdd0100b9d72fa281e7299

Aliases

arxiv: 1502.05936 · arxiv_version: 1502.05936v1 · doi: 10.48550/arxiv.1502.05936 · pith_short_12: ZB45KBBJBPBT · pith_short_16: ZB45KBBJBPBTXAVN · pith_short_8: ZB45KBBJ

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/ZB45KBBJBPBTXAVNANH5226TMJ \
  | 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: c879d504290bc33b82ad034fdd6bd3625f5057435ebdd0100b9d72fa281e7299

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b382593b5f3857d3f66f54c38d34be502355dfa8718563ac355e2a611d181246",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2015-02-19T17:33:29Z",
    "title_canon_sha256": "f9bbb833b7c41f2bb3be0bfec90aeb6253bfc1539cf742aae99935d95d4926ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05936",
    "kind": "arxiv",
    "version": 1
  }
}