Pith Number

pith:TGWP2CWJ

pith:2025:TGWP2CWJDEBOY5KW4H25HGU4FM

not attested not anchored not stored refs pending

Propagation in the Fisher-KPP equation with Mixed Operator

Alexander Quaas, Bego\~na Barrios, Bryan Pichucho

arxiv:2508.21151 v1 · 2025-08-28 · 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{TGWP2CWJDEBOY5KW4H25HGU4FM}

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	2026-07-05T12:01:28.742512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99acfd0ac91902ec7556e1f5d39a9c2b058d972fdf83c54995dea3fd57a4f5cd

Aliases

arxiv: 2508.21151 · arxiv_version: 2508.21151v1 · doi: 10.48550/arxiv.2508.21151 · pith_short_12: TGWP2CWJDEBO · pith_short_16: TGWP2CWJDEBOY5KW · pith_short_8: TGWP2CWJ

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/TGWP2CWJDEBOY5KW4H25HGU4FM \
  | 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: 99acfd0ac91902ec7556e1f5d39a9c2b058d972fdf83c54995dea3fd57a4f5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1813ccddc41c01b8dac992a489d0b820d545080b8bccc997ae54046840a6cf0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-28T18:34:43Z",
    "title_canon_sha256": "29c87a20009d540b5af87f14b8c7f3093b28a6b315eea66a2881b99463cfffd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.21151",
    "kind": "arxiv",
    "version": 1
  }
}