Pith Number

pith:ZGN5QM3L

pith:2009:ZGN5QM3L4MECEGJHCMQCVRZUSC

not attested not anchored not stored refs pending

The speed of propagation for KPP reaction-diffusion equations within large drift

Mohammad El Smaily, Stephane Kirsch

arxiv:0909.0985 v3 · 2009-09-05 · 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{ZGN5QM3L4MECEGJHCMQCVRZUSC}

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	2026-05-18T04:24:27.786234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99bd8336be30822192713202ac734908a6214e8a336f72f96e2e3addc00c6f1

Aliases

arxiv: 0909.0985 · arxiv_version: 0909.0985v3 · doi: 10.48550/arxiv.0909.0985 · pith_short_12: ZGN5QM3L4MEC · pith_short_16: ZGN5QM3L4MECEGJH · pith_short_8: ZGN5QM3L

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/ZGN5QM3L4MECEGJHCMQCVRZUSC \
  | 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: c99bd8336be30822192713202ac734908a6214e8a336f72f96e2e3addc00c6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ad7775f02285a5be4e0c9f2a1d0372ca6d8db0bcf8217aee9a4e0d8a511e95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-09-05T01:05:07Z",
    "title_canon_sha256": "5cae0c5a58d826d3e80c31518133e3310737edb085c6bb401b2ec886712708b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0985",
    "kind": "arxiv",
    "version": 3
  }
}