Pith Number

pith:E4QCRLB2

pith:2015:E4QCRLB2HOZBRLXXFQVHA373PC

not attested not anchored not stored refs pending

Diffusive KPP Equations with Free Boundaries in Time Almost Periodic Environments: I. Spreading and Vanishing Dichotomy

Fang Li, Wenxian Shen, Xing Liang

arxiv:1507.01881 v1 · 2015-07-07 · 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{E4QCRLB2HOZBRLXXFQVHA373PC}

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	2026-05-18T01:37:12.196360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272028ac3a3bb218aef72c2a706ffb789d6205515c49409e0a01adcd46658125

Aliases

arxiv: 1507.01881 · arxiv_version: 1507.01881v1 · doi: 10.48550/arxiv.1507.01881 · pith_short_12: E4QCRLB2HOZB · pith_short_16: E4QCRLB2HOZBRLXX · pith_short_8: E4QCRLB2

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/E4QCRLB2HOZBRLXXFQVHA373PC \
  | 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: 272028ac3a3bb218aef72c2a706ffb789d6205515c49409e0a01adcd46658125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c76d49cc1b953b43af299be18d5de6274cc63e7eb2572340ad6b55173780905",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-07T17:09:13Z",
    "title_canon_sha256": "dc5c215dac932c1685d06c7b451c0f44389045c8d693d4345db9220d49455cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01881",
    "kind": "arxiv",
    "version": 1
  }
}