Pith Number

pith:5NXDSEE7

pith:2015:5NXDSEE7FRB5CXZVHMOVCTH5TQ

not attested not anchored not stored refs pending

A hybrid mathematical model of collective motion under alignment and chemotaxis

Antonia Vecchio, Eleonora Messina, Ezio Di Costanzo, Marta Menci, Roberto Natalini

arxiv:1507.02980 v2 · 2015-07-07 · math.CA · cs.SY · eess.SY · math.DS · math.OC · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NXDSEE7FRB5CXZVHMOVCTH5TQ}

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	2026-06-04T17:09:23.731951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6e39109f2c43d15f353b1d514cfd9c395f110bf762eda0ec288e99d1b0da5f

Aliases

arxiv: 1507.02980 · arxiv_version: 1507.02980v2 · doi: 10.48550/arxiv.1507.02980 · pith_short_12: 5NXDSEE7FRB5 · pith_short_16: 5NXDSEE7FRB5CXZV · pith_short_8: 5NXDSEE7

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/5NXDSEE7FRB5CXZVHMOVCTH5TQ \
  | 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: eb6e39109f2c43d15f353b1d514cfd9c395f110bf762eda0ec288e99d1b0da5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "751c7609fb7c0d2abee472d2722854171e24d8d3da4468a9811199793f5fad76",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.DS",
      "math.OC",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-07T10:41:37Z",
    "title_canon_sha256": "cb607d231e46fee9dfe6ef284ebcd45988616a974841b5460b7a2ca5894b3739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02980",
    "kind": "arxiv",
    "version": 2
  }
}