Pith Number

pith:DLU266JO

pith:2018:DLU266JOTYL6GL7SCW3PIWGW6Z

not attested not anchored not stored refs pending

Sharp seasonal threshold property for cooperative population dynamics with concave nonlinearities

Hongjun Ji (LJLL), LJLL), Martin Strugarek (MAMBA

arxiv:1804.07641 v1 · 2018-04-20 · 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{DLU266JOTYL6GL7SCW3PIWGW6Z}

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	2026-05-18T00:17:58.229800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ae9af792e9e17e32ff215b6f458d6f6788bcef447322e36d027fc1542da1771

Aliases

arxiv: 1804.07641 · arxiv_version: 1804.07641v1 · doi: 10.48550/arxiv.1804.07641 · pith_short_12: DLU266JOTYL6 · pith_short_16: DLU266JOTYL6GL7S · pith_short_8: DLU266JO

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/DLU266JOTYL6GL7SCW3PIWGW6Z \
  | 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: 1ae9af792e9e17e32ff215b6f458d6f6788bcef447322e36d027fc1542da1771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f3f5f000b2fea846883042eb4d3e4ab3088fe085e7f6e5fd152a5a5367d0103",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-20T14:27:56Z",
    "title_canon_sha256": "a1b2e12c1771655d97977f11c394680d030057ae9d77a867fc24d8dfe3be7071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07641",
    "kind": "arxiv",
    "version": 1
  }
}