Pith Number

pith:JQAUZSOA

pith:2016:JQAUZSOAPZQMNKEVF6PD2AA7LR

not attested not anchored not stored refs pending

Invasion fronts on graphs: the Fisher-KPP equation on homogeneous trees and Erd\H{o}s-R\'eyni graphs

Aaron Hoffman, Matt Holzer

arxiv:1610.06877 v3 · 2016-10-21 · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQAUZSOAPZQMNKEVF6PD2AA7LR}

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	2026-05-18T00:16:56.756037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c014cc9c07e60c6a8952f9e3d001f5c4a4723025a448266d63de0953b49b564

Aliases

arxiv: 1610.06877 · arxiv_version: 1610.06877v3 · doi: 10.48550/arxiv.1610.06877 · pith_short_12: JQAUZSOAPZQM · pith_short_16: JQAUZSOAPZQMNKEV · pith_short_8: JQAUZSOA

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/JQAUZSOAPZQMNKEVF6PD2AA7LR \
  | 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: 4c014cc9c07e60c6a8952f9e3d001f5c4a4723025a448266d63de0953b49b564

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065359da360fd29d4311a2a63aba029a7fdd298651f0710348dad67173400d5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2016-10-21T17:49:54Z",
    "title_canon_sha256": "058666d97a47ab457909aa9227a92ee839c347b77f8e031a43596bbbdf833f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06877",
    "kind": "arxiv",
    "version": 3
  }
}