Pith Number

pith:3TKCTKKU

pith:2016:3TKCTKKUWMKOEHKAMDH4Q3IZYC

not attested not anchored not stored refs pending

Pulsating fronts for Fisher-KPP systems with mutations as models in evolutionary epidemiology

Matthieu Alfaro (IMAG), Quentin Griette (IMAG)

arxiv:1607.01156 v1 · 2016-07-05 · 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{3TKCTKKUWMKOEHKAMDH4Q3IZYC}

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	2026-05-18T01:11:30.041783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcd429a954b314e21d4060cfc86d19c08f521ccefb29f46c21278c6c1d5b1a89

Aliases

arxiv: 1607.01156 · arxiv_version: 1607.01156v1 · doi: 10.48550/arxiv.1607.01156 · pith_short_12: 3TKCTKKUWMKO · pith_short_16: 3TKCTKKUWMKOEHKA · pith_short_8: 3TKCTKKU

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/3TKCTKKUWMKOEHKAMDH4Q3IZYC \
  | 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: dcd429a954b314e21d4060cfc86d19c08f521ccefb29f46c21278c6c1d5b1a89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5352868baf4039dcf0847c8e94217af03a7b7d3a15da051ef688e5c35854bc17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-05T09:03:10Z",
    "title_canon_sha256": "8bb5d912c7d3dc8c65319983b0034a2a03e6d102bb23b1d725c257def12d33f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01156",
    "kind": "arxiv",
    "version": 1
  }
}