Pith Number

pith:3MCYS3VV

pith:2016:3MCYS3VVYKECBNF5LSXWDMQHQK

not attested not anchored not stored refs pending

A logistic equation with nonlocal interactions

Enrico Valdinoci, Luis Caffarelli, Serena Dipierro

arxiv:1601.05552 v1 · 2016-01-21 · 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{3MCYS3VVYKECBNF5LSXWDMQHQK}

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	2026-05-18T01:22:13.522921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db05896eb5c28820b4bd5caf61b2078288d3a0971ec5d9af4219a981fa61dc0f

Aliases

arxiv: 1601.05552 · arxiv_version: 1601.05552v1 · doi: 10.48550/arxiv.1601.05552 · pith_short_12: 3MCYS3VVYKEC · pith_short_16: 3MCYS3VVYKECBNF5 · pith_short_8: 3MCYS3VV

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/3MCYS3VVYKECBNF5LSXWDMQHQK \
  | 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: db05896eb5c28820b4bd5caf61b2078288d3a0971ec5d9af4219a981fa61dc0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637f2191c9ac835fa6050ede0520f488839ec8f43ef870464e4abbf6627574a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-21T08:50:17Z",
    "title_canon_sha256": "2060394ed8ab72be00cd65147a45b6cab71953eb371654597f7797f33a511575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05552",
    "kind": "arxiv",
    "version": 1
  }
}