Pith Number

pith:A4KKBIXQ

pith:2014:A4KKBIXQCTMJWHLZWB5JSTTBOF

not attested not anchored not stored refs pending

Bifurcation curves of a diffusive logistic equation with harvesting orthogonal to the first eigenfunction

Mayte P\'erez-Llanos, Pedro M. Gir\~ao

arxiv:1407.0163 v1 · 2014-07-01 · 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{A4KKBIXQCTMJWHLZWB5JSTTBOF}

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	2026-05-18T02:48:34.997565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0714a0a2f014d89b1d79b07a994e61716f4157ed62a42087bcf0ec058e910417

Aliases

arxiv: 1407.0163 · arxiv_version: 1407.0163v1 · doi: 10.48550/arxiv.1407.0163 · pith_short_12: A4KKBIXQCTMJ · pith_short_16: A4KKBIXQCTMJWHLZ · pith_short_8: A4KKBIXQ

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/A4KKBIXQCTMJWHLZWB5JSTTBOF \
  | 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: 0714a0a2f014d89b1d79b07a994e61716f4157ed62a42087bcf0ec058e910417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2da1b70589438d99dd7e1bdcca584e8f0a8f780a9269f591da0b92f8ce476db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-01T09:50:39Z",
    "title_canon_sha256": "a16714c54ecf036f0d49bacd749b5372c246ed0528a5e4d939de5b3889a0fc1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0163",
    "kind": "arxiv",
    "version": 1
  }
}