Pith Number

pith:N7V4BIIC

pith:2017:N7V4BIIC5Z2VQDUZ5W6EE5B3SI

not attested not anchored not stored refs pending

Particle based gPC methods for mean-field models of swarming with uncertainty

J. A. Carrillo, L. Pareschi, M. Zanella

arxiv:1712.01677 v2 · 2017-12-05 · math.NA · math.AP · nlin.AO · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7V4BIIC5Z2VQDUZ5W6EE5B3SI}

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	2026-05-18T00:16:21.438525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6febc0a102ee75580e99edbc42743b921d2da027831e7c0310b54670136f69c3

Aliases

arxiv: 1712.01677 · arxiv_version: 1712.01677v2 · doi: 10.48550/arxiv.1712.01677 · pith_short_12: N7V4BIIC5Z2V · pith_short_16: N7V4BIIC5Z2VQDUZ · pith_short_8: N7V4BIIC

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/N7V4BIIC5Z2VQDUZ5W6EE5B3SI \
  | 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: 6febc0a102ee75580e99edbc42743b921d2da027831e7c0310b54670136f69c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b62ee41e1057e4a8362bd249bff8db1e9575226458d017d43520b9e50bc3c482",
    "cross_cats_sorted": [
      "math.AP",
      "nlin.AO",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-05T14:47:49Z",
    "title_canon_sha256": "180c59554cb07e04befa4e2cc9e1397631b64123cd27993a6c04bb7d7b11451e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01677",
    "kind": "arxiv",
    "version": 2
  }
}