Pith Number

pith:RZ2VFGIF

pith:2010:RZ2VFGIFIP5PXN2V3CLJVRG2GI

not attested not anchored not stored refs pending

A macroscopic model for a system of swarming agents using curvature control

Pierre Degond (IMT), S\'ebastien Motsch (CSCAMM)

arxiv:1010.5405 v1 · 2010-10-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZ2VFGIFIP5PXN2V3CLJVRG2GI}

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	2026-05-18T02:54:47.546224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e7552990543fafbb755d8969ac4da3214f2fdf6451278bcfa977135bf7f9ddc

Aliases

arxiv: 1010.5405 · arxiv_version: 1010.5405v1 · doi: 10.48550/arxiv.1010.5405 · pith_short_12: RZ2VFGIFIP5P · pith_short_16: RZ2VFGIFIP5PXN2V · pith_short_8: RZ2VFGIF

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/RZ2VFGIFIP5PXN2V3CLJVRG2GI \
  | 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: 8e7552990543fafbb755d8969ac4da3214f2fdf6451278bcfa977135bf7f9ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c05c66be04893c696f2da24939d77769fdcc7f3b7dd0b44220c615839f75d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-26T14:14:54Z",
    "title_canon_sha256": "c11fd3dfa0f2418194c6ea9708280c8a3e8a8d1458330490ee617745875b05ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5405",
    "kind": "arxiv",
    "version": 1
  }
}