Pith Number

pith:O7DNNDED

pith:2018:O7DNNDEDBA73SXC43WUDNGJK7A

not attested not anchored not stored refs pending

Alignment of self-propelled rigid bodies: from particle systems to macroscopic equations

Amic Frouvelle (CEREMADE), Ariane Trescases (CMLA), Pierre Degond, Sara Merino-Aceituno

arxiv:1810.06903 v1 · 2018-10-16 · math.AP · 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{O7DNNDEDBA73SXC43WUDNGJK7A}

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	2026-05-18T00:03:11.171613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c6d68c83083fb95c5cdda836992af81e58b775d7f03aa69630412fd6164673

Aliases

arxiv: 1810.06903 · arxiv_version: 1810.06903v1 · doi: 10.48550/arxiv.1810.06903 · pith_short_12: O7DNNDEDBA73 · pith_short_16: O7DNNDEDBA73SXC4 · pith_short_8: O7DNNDED

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/O7DNNDEDBA73SXC43WUDNGJK7A \
  | 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: 77c6d68c83083fb95c5cdda836992af81e58b775d7f03aa69630412fd6164673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697caf50b6e7760213ed68f148e939ec8424a0f7d6f7b5254f0f160435bafd07",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-16T09:51:23Z",
    "title_canon_sha256": "09dec59eac5cd3c80ef6b2f4b0ecdc05e79ed2b0f76fb201071264bb24ab3740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06903",
    "kind": "arxiv",
    "version": 1
  }
}