Pith Number

pith:P7LWRTJU

pith:2015:P7LWRTJUKHWEVHB36NHB3YP3P6

not attested not anchored not stored refs pending

Transition fronts in nonlocal Fisher-KPP equations in time heterogeneous media

Wenxian Shen, Zhongwei Shen

arxiv:1507.03710 v2 · 2015-07-14 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7LWRTJUKHWEVHB36NHB3YP3P6}

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	2026-05-18T01:26:25.136515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd768cd3451ec4a9c3bf34e1de1fb7f8f4af41a51971f601e17fd7c5cd2f486

Aliases

arxiv: 1507.03710 · arxiv_version: 1507.03710v2 · doi: 10.48550/arxiv.1507.03710 · pith_short_12: P7LWRTJUKHWE · pith_short_16: P7LWRTJUKHWEVHB3 · pith_short_8: P7LWRTJU

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/P7LWRTJUKHWEVHB36NHB3YP3P6 \
  | 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: 7fd768cd3451ec4a9c3bf34e1de1fb7f8f4af41a51971f601e17fd7c5cd2f486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ccb8d4f134702bbd369c5ed20bfec4c5918fb6283ccf801ffb9daf584d4730a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-14T03:14:09Z",
    "title_canon_sha256": "f07fa19847a3192491cbc371c39fa4bf94d4dbf8357e3f841e57876b5f24c0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03710",
    "kind": "arxiv",
    "version": 2
  }
}