Pith Number

pith:BSZPN67P

pith:2015:BSZPN67P2WMGNQOHEN2ALZVSRL

not attested not anchored not stored refs pending

Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary

Lei Wei, Ling Zhou, Yihong Du

arxiv:1508.06246 v2 · 2015-08-25 · 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{BSZPN67P2WMGNQOHEN2ALZVSRL}

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	2026-05-18T01:34:43.333333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb2f6fbefd59866c1c7237405e6b28acc0aa0ff6bd508d8c48f2b9e4760a980

Aliases

arxiv: 1508.06246 · arxiv_version: 1508.06246v2 · doi: 10.48550/arxiv.1508.06246 · pith_short_12: BSZPN67P2WMG · pith_short_16: BSZPN67P2WMGNQOH · pith_short_8: BSZPN67P

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/BSZPN67P2WMGNQOHEN2ALZVSRL \
  | 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: 0cb2f6fbefd59866c1c7237405e6b28acc0aa0ff6bd508d8c48f2b9e4760a980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf2625c83f629fd2de697335e0869882852f6512a848f3161e980e1816ca53e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-25T19:05:53Z",
    "title_canon_sha256": "d401f4fe4ee30af4755217865482951bcb1f045eff643f1e3c15284f333fa457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06246",
    "kind": "arxiv",
    "version": 2
  }
}