Pith Number

pith:TU5TYLSF

pith:2015:TU5TYLSFR7Y4U4A3GTETT5AIHY

not attested not anchored not stored refs pending

A maximum principle for diffusive Lotka-Volterra systems of two competing species

Chiun-Chuan Chen, Li-Chang Hung

arxiv:1509.00071 v2 · 2015-08-31 · 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{TU5TYLSFR7Y4U4A3GTETT5AIHY}

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	2026-05-18T01:17:25.406262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d3b3c2e458ff1ca701b34c939f4083e35018299b1832b4d1a0b108e22cb6209

Aliases

arxiv: 1509.00071 · arxiv_version: 1509.00071v2 · doi: 10.48550/arxiv.1509.00071 · pith_short_12: TU5TYLSFR7Y4 · pith_short_16: TU5TYLSFR7Y4U4A3 · pith_short_8: TU5TYLSF

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/TU5TYLSFR7Y4U4A3GTETT5AIHY \
  | 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: 9d3b3c2e458ff1ca701b34c939f4083e35018299b1832b4d1a0b108e22cb6209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e6a361ada168c0c0262a878000da9ddb5d6af152472247f94ff28b0822992d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-31T21:07:47Z",
    "title_canon_sha256": "d4baa499a0ab46e4f4a0b1d3601adc69dd3aeeccc1cc81b8bd7d40b1fa63bc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00071",
    "kind": "arxiv",
    "version": 2
  }
}