Pith Number

pith:XHVUD25K

pith:2012:XHVUD25K7AXTKEBH64ESTMQF2U

not attested not anchored not stored refs pending

Existence of weak solutions to kinetic flocking models

Antoine Mellet, Konstantina Trivisa, Trygve Karper

arxiv:1202.4346 v1 · 2012-02-20 · 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{XHVUD25K7AXTKEBH64ESTMQF2U}

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	2026-05-18T04:01:51.700703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9eb41ebaaf82f351027f70929b205d51db1a31cb99243dc988eb64193b91845

Aliases

arxiv: 1202.4346 · arxiv_version: 1202.4346v1 · doi: 10.48550/arxiv.1202.4346 · pith_short_12: XHVUD25K7AXT · pith_short_16: XHVUD25K7AXTKEBH · pith_short_8: XHVUD25K

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/XHVUD25K7AXTKEBH64ESTMQF2U \
  | 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: b9eb41ebaaf82f351027f70929b205d51db1a31cb99243dc988eb64193b91845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c132bee8b2795a38b558dacbcd77040b61012c0fbf2289a123a4a5cecf9992e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-20T15:08:38Z",
    "title_canon_sha256": "408cfbbe6fccfe29a364173b1aafcd166faa72b3f910b6f2263a9c93add5b937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4346",
    "kind": "arxiv",
    "version": 1
  }
}