Pith Number

pith:2F3P3Q5I

pith:2026:2F3P3Q5IM3RGBQ3CDMKTBNVFS3

not attested not anchored not stored refs pending

Spreading speeds for Fisher-KPP equations with slowly decaying initial data in an almost periodic setting

Linfeng Xu, Tao Zhou, Xing Liang

arxiv:2606.31553 v1 · 2026-06-30 · 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{2F3P3Q5IM3RGBQ3CDMKTBNVFS3}

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	2026-07-01T01:18:06.944074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d176fdc3a866e260c3621b1530b6a596ff3b9ef8ae99f92a2e17261d8bc989bc

Aliases

arxiv: 2606.31553 · arxiv_version: 2606.31553v1 · doi: 10.48550/arxiv.2606.31553 · pith_short_12: 2F3P3Q5IM3RG · pith_short_16: 2F3P3Q5IM3RGBQ3C · pith_short_8: 2F3P3Q5I

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/2F3P3Q5IM3RGBQ3CDMKTBNVFS3 \
  | 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: d176fdc3a866e260c3621b1530b6a596ff3b9ef8ae99f92a2e17261d8bc989bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b6654516de7422996e8eb06cdb68ac35d77559b4a009ad35321206344586aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-30T12:10:42Z",
    "title_canon_sha256": "a1c39d34948048c1ae929440bfda2a9302c97bab984affbdf24690a8beb0041c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31553",
    "kind": "arxiv",
    "version": 1
  }
}