Pith Number

pith:6OMNOATU

pith:2019:6OMNOATUBHWIKVA4E3RPAS2M6Z

not attested not anchored not stored refs pending

Sharp estimates for the spreading speed of the Lotka-Volterra diffusion system with strong competition

Chang-Hong Wu, Maolin Zhou, Rui Peng

arxiv:1908.05539 v4 · 2019-08-15 · 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{6OMNOATUBHWIKVA4E3RPAS2M6Z}

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	2026-07-05T01:17:57.511968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f398d7027409ec85541c26e2f04b4cf678d86683185782b38511930aa46fe8f3

Aliases

arxiv: 1908.05539 · arxiv_version: 1908.05539v4 · doi: 10.48550/arxiv.1908.05539 · pith_short_12: 6OMNOATUBHWI · pith_short_16: 6OMNOATUBHWIKVA4 · pith_short_8: 6OMNOATU

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/6OMNOATUBHWIKVA4E3RPAS2M6Z \
  | 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: f398d7027409ec85541c26e2f04b4cf678d86683185782b38511930aa46fe8f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26c6427318ec2b1e795285dbdd06f22a9209e401aca13a4ac1b03431a255fe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-15T13:49:31Z",
    "title_canon_sha256": "446f9ead528b98d9f4cca5116f58e1bded872672d045a601c77a6e00d827ed25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05539",
    "kind": "arxiv",
    "version": 4
  }
}