Pith Number

pith:6TGYK75D

pith:2011:6TGYK75DUFCVQ65O2P72QRJO3W

not attested not anchored not stored refs pending

Transition between linear and exponential propagation in Fisher-KPP type reaction-diffusion equations

Anne-Charline Coulon, Jean-Michel Roquejoffre

arxiv:1111.0408 v1 · 2011-11-02 · 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{6TGYK75DUFCVQ65O2P72QRJO3W}

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	2026-05-18T04:09:45.042874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4cd857fa3a145587baed3ffa8452edd8238d2665e0749817c4befd9fb38aa3e

Aliases

arxiv: 1111.0408 · arxiv_version: 1111.0408v1 · doi: 10.48550/arxiv.1111.0408 · pith_short_12: 6TGYK75DUFCV · pith_short_16: 6TGYK75DUFCVQ65O · pith_short_8: 6TGYK75D

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/6TGYK75DUFCVQ65O2P72QRJO3W \
  | 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: f4cd857fa3a145587baed3ffa8452edd8238d2665e0749817c4befd9fb38aa3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d0f8715538b0805a00394fd6b78d4f699555f2d0289d1241fc2bb0557839af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-02T07:26:26Z",
    "title_canon_sha256": "38ce37f8d16331eadd5f97879ba2639f533cfb1cc4409f38a1caa49caa28e8e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0408",
    "kind": "arxiv",
    "version": 1
  }
}