Pith Number

pith:6UDFX3TF

pith:2018:6UDFX3TFPTVHCMWKPWIFNGNTGP

not attested not anchored not stored refs pending

Effects of localized spatial variations on the uniform persistence and spreading speeds of time periodic two species competition systems

Liang Kong, Tung Nguyen, Wenxian Shen

arxiv:1803.05322 v1 · 2018-03-14 · 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{6UDFX3TFPTVHCMWKPWIFNGNTGP}

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	2026-05-17T23:55:21.140275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5065bee657cea7132ca7d905699b333e615124097268781da369a1a1fd84831

Aliases

arxiv: 1803.05322 · arxiv_version: 1803.05322v1 · doi: 10.48550/arxiv.1803.05322 · pith_short_12: 6UDFX3TFPTVH · pith_short_16: 6UDFX3TFPTVHCMWK · pith_short_8: 6UDFX3TF

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/6UDFX3TFPTVHCMWKPWIFNGNTGP \
  | 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: f5065bee657cea7132ca7d905699b333e615124097268781da369a1a1fd84831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54769282abe1b89520c41e14580d5a21199251c2c663967a82336f695ce1094",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-14T14:46:40Z",
    "title_canon_sha256": "c95eb4369f1962803cf12d0055b849117278154afdb0f82e88297d89a50b42e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05322",
    "kind": "arxiv",
    "version": 1
  }
}