Pith Number

pith:IS5G7LUW

pith:2014:IS5G7LUW3XWEP7RPGSMSNA64NN

not attested not anchored not stored refs pending

Macroscopic models of collective motion with repulsion

Giacomo Dimarco, Nan Wang, Pierre Degond, Thi Bich Ngoc Mac (IMT)

arxiv:1404.4886 v1 · 2014-04-18 · 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{IS5G7LUW3XWEP7RPGSMSNA64NN}

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	2026-05-18T02:53:52.736243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44ba6fae96ddec47fe2f34992683dc6b7897413c4eb0c11432c7fca3155cb17b

Aliases

arxiv: 1404.4886 · arxiv_version: 1404.4886v1 · doi: 10.48550/arxiv.1404.4886 · pith_short_12: IS5G7LUW3XWE · pith_short_16: IS5G7LUW3XWEP7RP · pith_short_8: IS5G7LUW

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/IS5G7LUW3XWEP7RPGSMSNA64NN \
  | 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: 44ba6fae96ddec47fe2f34992683dc6b7897413c4eb0c11432c7fca3155cb17b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89489f46af7c85fe675f71b69b15a1e2cc3d4bf9a81c5cc79001a802a6d35887",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-04-18T20:55:31Z",
    "title_canon_sha256": "326aa86b8532db5435fd08372545519453a2227466af142162355a981fdfe6be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4886",
    "kind": "arxiv",
    "version": 1
  }
}