Pith Number

pith:5JM6NZUF

pith:2013:5JM6NZUF3SFS7BUZGMVVXO4FAZ

not attested not anchored not stored refs pending

Improved duality estimates and applications to reaction-diffusion equations

Jos\'e A. Ca\~nizo, Klemens Fellner, Laurent Desvillettes

arxiv:1304.4040 v1 · 2013-04-15 · 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{5JM6NZUF3SFS7BUZGMVVXO4FAZ}

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	2026-05-18T02:52:48.542977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea59e6e685dc8b2f8699332b5bbb8506672f6894a48c634219300e6ae82ae6cb

Aliases

arxiv: 1304.4040 · arxiv_version: 1304.4040v1 · doi: 10.48550/arxiv.1304.4040 · pith_short_12: 5JM6NZUF3SFS · pith_short_16: 5JM6NZUF3SFS7BUZ · pith_short_8: 5JM6NZUF

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/5JM6NZUF3SFS7BUZGMVVXO4FAZ \
  | 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: ea59e6e685dc8b2f8699332b5bbb8506672f6894a48c634219300e6ae82ae6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6942f814d2c1ac7ab655f96b16e1c9f914839022e9184ed98cdd1bc811e6e32c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-15T10:08:15Z",
    "title_canon_sha256": "b3b0c7a275c42b35088667f30c2e708107b7ce9f1ef41b4fd77f73b8486e0e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4040",
    "kind": "arxiv",
    "version": 1
  }
}