Pith Number

pith:4HD2FIZ2

pith:2009:4HD2FIZ2HXNLYEBCZVVMRQWMVT

not attested not anchored not stored refs pending

Congestion in a macroscopic model of self-driven particles modeling gregariousness

David Sanchez (IMT), Laurent Navoret (IMT), Pierre Degond (IMT), Richard Bon (CRCA)

arxiv:0908.1817 v1 · 2009-08-13 · 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{4HD2FIZ2HXNLYEBCZVVMRQWMVT}

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	2026-05-18T02:54:47.607226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c7a2a33a3ddabc1022cd6ac8c2ccacef29e71939e1c240b2c3b9182389bd93

Aliases

arxiv: 0908.1817 · arxiv_version: 0908.1817v1 · doi: 10.48550/arxiv.0908.1817 · pith_short_12: 4HD2FIZ2HXNL · pith_short_16: 4HD2FIZ2HXNLYEBC · pith_short_8: 4HD2FIZ2

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/4HD2FIZ2HXNLYEBCZVVMRQWMVT \
  | 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: e1c7a2a33a3ddabc1022cd6ac8c2ccacef29e71939e1c240b2c3b9182389bd93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2386639f6e8bceb0973ff6f948fba2c4e8b34e956e059c30b65934dacd1f9111",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-08-13T16:19:17Z",
    "title_canon_sha256": "a5b69079edab38378c9669440943a0c5051974ec7e004abe86d582441aa644c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1817",
    "kind": "arxiv",
    "version": 1
  }
}