Pith Number

pith:IS7A23KQ

pith:2015:IS7A23KQQ52BAYWMMV2JP5GYVP

not attested not anchored not stored refs pending

Protection zone in a diffusive predator-prey model with Beddington-DeAngelis functional response

Sining Zheng, Xiao He

arxiv:1505.06625 v3 · 2015-05-25 · 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{IS7A23KQQ52BAYWMMV2JP5GYVP}

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	2026-05-18T00:55:52.288549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44be0d6d5087741062cc657497f4d8abe8de985e5d834793ef0ba24d21f77033

Aliases

arxiv: 1505.06625 · arxiv_version: 1505.06625v3 · doi: 10.48550/arxiv.1505.06625 · pith_short_12: IS7A23KQQ52B · pith_short_16: IS7A23KQQ52BAYWM · pith_short_8: IS7A23KQ

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/IS7A23KQQ52BAYWMMV2JP5GYVP \
  | 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: 44be0d6d5087741062cc657497f4d8abe8de985e5d834793ef0ba24d21f77033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff39768fea0d8af34a9177e0aa8da953c10b08521450d870a0f478a71fad63a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-25T13:38:53Z",
    "title_canon_sha256": "50233cccad5b1ee7bee3567865696d53539d750c9f376e8d226f41f741732677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06625",
    "kind": "arxiv",
    "version": 3
  }
}