Pith Number

pith:HKE5GUC3

pith:2012:HKE5GUC3VY4BSRGJJM2B42XTJ7

not attested not anchored not stored refs pending

The logarithmic delay of KPP fronts in a periodic medium

Francois Hamel, James Nolen, Jean-Michel Roquejoffre, Lenya Ryzhik

arxiv:1211.6173 v1 · 2012-11-27 · 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{HKE5GUC3VY4BSRGJJM2B42XTJ7}

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	2026-05-18T03:39:52.381963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a89d3505bae381944c94b341e6af34fdd3ab70c548dd3ba7d5b6bd2d1951efe

Aliases

arxiv: 1211.6173 · arxiv_version: 1211.6173v1 · doi: 10.48550/arxiv.1211.6173 · pith_short_12: HKE5GUC3VY4B · pith_short_16: HKE5GUC3VY4BSRGJ · pith_short_8: HKE5GUC3

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/HKE5GUC3VY4BSRGJJM2B42XTJ7 \
  | 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: 3a89d3505bae381944c94b341e6af34fdd3ab70c548dd3ba7d5b6bd2d1951efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bef3e32f3d89a443cca7a5c55d70ecb6cfd9bfbc8005fdf71b4494b1251e746d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-27T01:06:36Z",
    "title_canon_sha256": "dcc00a4bfc6afa1d66818652f9e7a5303e053b5080b7ac39b63b74b586daffba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6173",
    "kind": "arxiv",
    "version": 1
  }
}