Pith Number

pith:K2H2LTUJ

pith:2010:K2H2LTUJP4GERZZYG2O3QV6IRL

not attested not anchored not stored refs pending

Diffusion in a continuum model of self-propelled particles with alignment interaction

Pierre Degond (IMT), Tong Yang

arxiv:1002.2716 v1 · 2010-02-13 · 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{K2H2LTUJP4GERZZYG2O3QV6IRL}

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	2026-05-18T02:54:47.583286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

568fa5ce897f0c48e738369db857c88ad153f7e2a65a7c433b7292dc9bd656b0

Aliases

arxiv: 1002.2716 · arxiv_version: 1002.2716v1 · doi: 10.48550/arxiv.1002.2716 · pith_short_12: K2H2LTUJP4GE · pith_short_16: K2H2LTUJP4GERZZY · pith_short_8: K2H2LTUJ

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/K2H2LTUJP4GERZZYG2O3QV6IRL \
  | 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: 568fa5ce897f0c48e738369db857c88ad153f7e2a65a7c433b7292dc9bd656b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f68a7e929216d0d627966d3f931bc5da060b815c0c047661806d87efb5867046",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-02-13T15:28:05Z",
    "title_canon_sha256": "5b53bac14f77bf41edd94f564b23578689a97f0e2735641ff139f69f2ab8976f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2716",
    "kind": "arxiv",
    "version": 1
  }
}