Pith Number

pith:PCRXKX3G

pith:2018:PCRXKX3GN6K7TMSUDKKX4VS25J

not attested not anchored not stored refs pending

Aggregation-diffusion equations: dynamics, asymptotics, and singular limits

Jose A. Carrillo, Katy Craig, Yao Yao

arxiv:1810.03634 v1 · 2018-10-08 · math.AP · 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{PCRXKX3GN6K7TMSUDKKX4VS25J}

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	2026-05-18T00:03:44.805560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a3755f666f95f9b2541a957e565aea456db2aada141b3c440a05b76759e7b6

Aliases

arxiv: 1810.03634 · arxiv_version: 1810.03634v1 · doi: 10.48550/arxiv.1810.03634 · pith_short_12: PCRXKX3GN6K7 · pith_short_16: PCRXKX3GN6K7TMSU · pith_short_8: PCRXKX3G

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/PCRXKX3GN6K7TMSUDKKX4VS25J \
  | 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: 78a3755f666f95f9b2541a957e565aea456db2aada141b3c440a05b76759e7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab96a1a4c6066812634c341a4319820b92974709d428fd30190953358ca81dd",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-08T18:01:14Z",
    "title_canon_sha256": "726ebd766a58512864913b93d31eb9626ac8ce695050361311c9a433999428fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03634",
    "kind": "arxiv",
    "version": 1
  }
}