Pith Number

pith:4EPWCNFC

pith:2016:4EPWCNFC23EIM4C7D4CLVMZKUU

not attested not anchored not stored refs pending

Explicit Equilibrium Solutions For the Aggregation Equation with Power-Law Potentials

Jos\'e A. Carrillo, Yanghong Huang

arxiv:1602.06615 v1 · 2016-02-22 · 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{4EPWCNFC23EIM4C7D4CLVMZKUU}

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	2026-05-18T01:20:13.526015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e11f6134a2d6c886705f1f04bab32aa524cc7fca8c4515cb5e475f057e4903b5

Aliases

arxiv: 1602.06615 · arxiv_version: 1602.06615v1 · doi: 10.48550/arxiv.1602.06615 · pith_short_12: 4EPWCNFC23EI · pith_short_16: 4EPWCNFC23EIM4C7 · pith_short_8: 4EPWCNFC

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/4EPWCNFC23EIM4C7D4CLVMZKUU \
  | 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: e11f6134a2d6c886705f1f04bab32aa524cc7fca8c4515cb5e475f057e4903b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c9dd570a81a3b4c20ec7452fdfaf391fff36a5c30f503339961ecab0cc323f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-22T00:28:55Z",
    "title_canon_sha256": "26716466b8a681a9fec8d339292d5a8477ee91c65f0451c8fadc15060ff4a784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06615",
    "kind": "arxiv",
    "version": 1
  }
}