Pith Number

pith:J4QNDJUN

pith:2014:J4QNDJUNGJDXZ65TTMWJ4UKWQJ

not attested not anchored not stored refs pending

Collective motions of heterogeneous swarms

Ira B. Schwartz, Klementyna Szwaykowska, Luis Mier-y-Teran Romero

arxiv:1409.1042 v1 · 2014-09-03 · nlin.AO · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4QNDJUNGJDXZ65TTMWJ4UKWQJ}

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	2026-05-18T02:43:44.498041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f20d1a68d32477cfbb39b2c9e5156827f028c4aa5558848288264c99564ed8d

Aliases

arxiv: 1409.1042 · arxiv_version: 1409.1042v1 · doi: 10.48550/arxiv.1409.1042 · pith_short_12: J4QNDJUNGJDX · pith_short_16: J4QNDJUNGJDXZ65T · pith_short_8: J4QNDJUN

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/J4QNDJUNGJDXZ65TTMWJ4UKWQJ \
  | 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: 4f20d1a68d32477cfbb39b2c9e5156827f028c4aa5558848288264c99564ed8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b606233b1af85fde2d3cd1473a57b1f4018e392fb227e84c5b02a176249c69e",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2014-09-03T11:39:19Z",
    "title_canon_sha256": "b616ae3a3fe01b8f5ee76726f8f6c3deef8fef3e540148e3a28dc3a5391a583c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1042",
    "kind": "arxiv",
    "version": 1
  }
}