Pith Number

pith:D7C6HLE7

pith:2009:D7C6HLE75LPL4VHRYYENIQPRWJ

not attested not anchored not stored refs pending

A continuum model for alignment of self-propelled particles with anisotropy and density-dependent parameters

Amic Frouvelle (IMT)

arxiv:0912.0594 v3 · 2009-12-03 · math-ph · math.AP · 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{D7C6HLE75LPL4VHRYYENIQPRWJ}

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	2026-05-18T03:36:16.450799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc5e3ac9feadebe54f1c608d441f1b25bd36ebb79c3de16ffccb90a1ff6f5d2

Aliases

arxiv: 0912.0594 · arxiv_version: 0912.0594v3 · doi: 10.48550/arxiv.0912.0594 · pith_short_12: D7C6HLE75LPL · pith_short_16: D7C6HLE75LPL4VHR · pith_short_8: D7C6HLE7

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/D7C6HLE75LPL4VHRYYENIQPRWJ \
  | 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: 1fc5e3ac9feadebe54f1c608d441f1b25bd36ebb79c3de16ffccb90a1ff6f5d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efe9f6f46be51502b3c0cf1b2aa430a57b31a7ed01dbb38f6d196b48a4d0ea4",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-12-03T08:23:07Z",
    "title_canon_sha256": "c26b2fd4996708323abfcd0b59ea78445839c8f84ac7551069f848138ca78cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0594",
    "kind": "arxiv",
    "version": 3
  }
}