Pith Number

pith:UDXFNCDE

pith:2015:UDXFNCDEHZJS7L77KLSH2PZKX3

not attested not anchored not stored refs pending

Diffusive KPP Equations with Free Boundaries in Time Almost Periodic Environments: II. Spreading Speeds and Semi-Wave

Fang Li, Wenxian Shen, Xing Liang

arxiv:1507.01886 v1 · 2015-07-07 · 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{UDXFNCDEHZJS7L77KLSH2PZKX3}

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	2026-05-18T01:37:12.167164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ee5688643e532fafff52e47d3f2abeda5213d45ea2587835cdc9fc3c3f5fc3

Aliases

arxiv: 1507.01886 · arxiv_version: 1507.01886v1 · doi: 10.48550/arxiv.1507.01886 · pith_short_12: UDXFNCDEHZJS · pith_short_16: UDXFNCDEHZJS7L77 · pith_short_8: UDXFNCDE

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/UDXFNCDEHZJS7L77KLSH2PZKX3 \
  | 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: a0ee5688643e532fafff52e47d3f2abeda5213d45ea2587835cdc9fc3c3f5fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22e1609f2a2c06cb97bef4768c46b1e74171d6884e1246ec625dce8fda3cd23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-07T17:18:26Z",
    "title_canon_sha256": "bb0be96ec8023d1df26e69bbc2ba24198df8e5cc2674fded037304ed51babaa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01886",
    "kind": "arxiv",
    "version": 1
  }
}