Pith Number

pith:Y4O22QHW

pith:2021:Y4O22QHWVXDEP7NEJXALY3YZ6O

not attested not anchored not stored refs pending

Asymptotic simplification of Aggregation-Diffusion equations towards the heat kernel

Chongchun Zeng, David G\'omez-Castro, Jos\'e A. Carrillo, Yao Yao

arxiv:2105.13323 v1 · 2021-05-27 · 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{Y4O22QHWVXDEP7NEJXALY3YZ6O}

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	2026-07-05T02:44:00.225880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71dad40f6adc647fda44dc0bc6f19f3ab39aaf8116295cc2666e4141f50c2bb

Aliases

arxiv: 2105.13323 · arxiv_version: 2105.13323v1 · doi: 10.48550/arxiv.2105.13323 · pith_short_12: Y4O22QHWVXDE · pith_short_16: Y4O22QHWVXDEP7NE · pith_short_8: Y4O22QHW

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/Y4O22QHWVXDEP7NEJXALY3YZ6O \
  | 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: c71dad40f6adc647fda44dc0bc6f19f3ab39aaf8116295cc2666e4141f50c2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771019f862fef05dd00a506778ae028988f475cc02c58bca9773a9f57c0e49dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-05-27T17:27:50Z",
    "title_canon_sha256": "0a2065adab60f5856865416d9d020f274a628793e8b27fc37a846ceed2bbb418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.13323",
    "kind": "arxiv",
    "version": 1
  }
}