Pith Number

pith:FHWZ3F5O

pith:2012:FHWZ3F5OPDNKDZUAJ3QTA46CM4

not attested not anchored not stored refs pending

Travelling waves in a nonlocal reaction-diffusion equation as a model for a population structured by a space variable and a phenotypical trait

Ga\"el Raoul (CEFE), J\'er\^ome Coville (BIOSP), Matthieu Alfaro (I3M)

arxiv:1211.3228 v2 · 2012-11-14 · 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{FHWZ3F5OPDNKDZUAJ3QTA46CM4}

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	2026-05-18T03:39:41.266299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29ed9d97ae78daa1e6804ee13073c2671f5279628777e912f3a672a15545f867

Aliases

arxiv: 1211.3228 · arxiv_version: 1211.3228v2 · doi: 10.48550/arxiv.1211.3228 · pith_short_12: FHWZ3F5OPDNK · pith_short_16: FHWZ3F5OPDNKDZUA · pith_short_8: FHWZ3F5O

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/FHWZ3F5OPDNKDZUAJ3QTA46CM4 \
  | 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: 29ed9d97ae78daa1e6804ee13073c2671f5279628777e912f3a672a15545f867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef75a6583d237d3360254afc52b10e9f301ce02ddbba18c136af347fd6a9855a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-14T07:35:52Z",
    "title_canon_sha256": "ae2796d1ecd1768078e07ad91112bd82138395518fff67214e902b26e595cc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3228",
    "kind": "arxiv",
    "version": 2
  }
}