Pith Number

pith:WLHBIZGL

pith:2016:WLHBIZGLR3WY2VZ4DM6I5BOJDD

not attested not anchored not stored refs pending

A review on attractive-repulsive hydrodynamics for consensus in collective behavior

Jos\'e A. Carrillo, Sergio P. Perez, Young-Pil Choi

arxiv:1605.00232 v2 · 2016-05-01 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLHBIZGLR3WY2VZ4DM6I5BOJDD}

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	2026-07-05T01:39:39.927111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ce1464cb8eed8d573c1b3c8e85c918c124e3d57e2b053db8c28984a2a0995c

Aliases

arxiv: 1605.00232 · arxiv_version: 1605.00232v2 · doi: 10.48550/arxiv.1605.00232 · pith_short_12: WLHBIZGLR3WY · pith_short_16: WLHBIZGLR3WY2VZ4 · pith_short_8: WLHBIZGL

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/WLHBIZGLR3WY2VZ4DM6I5BOJDD \
  | 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: b2ce1464cb8eed8d573c1b3c8e85c918c124e3d57e2b053db8c28984a2a0995c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2367bc0f7373d1a6ed1b192fd99ba747af7ecdd65033df35915cdea3c59e32ba",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-01T10:33:51Z",
    "title_canon_sha256": "43eb3e36d9415f5d0b34afe1bba5d02136578aa9b41f84ff3066bf1b8a430577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00232",
    "kind": "arxiv",
    "version": 2
  }
}