Pith Number

pith:4KN6T6V4

pith:2013:4KN6T6V4OZZ3DSWEPE3ET7OBRX

not attested not anchored not stored refs pending

Traveling Waves in a Three Species Competition-cooperation System

Xiaojie Hou, Yi Li

arxiv:1301.5680 v1 · 2013-01-24 · math.AP · 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{4KN6T6V4OZZ3DSWEPE3ET7OBRX}

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	2026-05-18T03:35:37.721177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e29be9fabc7673b1cac4793649fdc18ddf19c786fac3ccec4e7befa778f7243e

Aliases

arxiv: 1301.5680 · arxiv_version: 1301.5680v1 · doi: 10.48550/arxiv.1301.5680 · pith_short_12: 4KN6T6V4OZZ3 · pith_short_16: 4KN6T6V4OZZ3DSWE · pith_short_8: 4KN6T6V4

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/4KN6T6V4OZZ3DSWEPE3ET7OBRX \
  | 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: e29be9fabc7673b1cac4793649fdc18ddf19c786fac3ccec4e7befa778f7243e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d829ae82207b1d489a58a05349c809fa29ee185eb7b06a16258a086f5f9cacec",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-24T00:47:34Z",
    "title_canon_sha256": "7b09bb6380aaed964c303e87b5e733f40fa229e15fecabc5080750e170a0865b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5680",
    "kind": "arxiv",
    "version": 1
  }
}