Pith Number

pith:O5UCULQC

pith:2014:O5UCULQCDMYM2YXO75PAQSJYTQ

not attested not anchored not stored refs pending

Propagation Phenomena for A Reaction-Advection-Diffusion Competition Model in A Periodic Habitat

Xiao-Qiang Zhao, Xiao Yu

arxiv:1410.4591 v1 · 2014-10-16 · 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{O5UCULQCDMYM2YXO75PAQSJYTQ}

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	2026-05-18T02:39:55.210938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77682a2e021b30cd62eeff5e0849389c21baad75c6aff34827f15512d55ffa49

Aliases

arxiv: 1410.4591 · arxiv_version: 1410.4591v1 · doi: 10.48550/arxiv.1410.4591 · pith_short_12: O5UCULQCDMYM · pith_short_16: O5UCULQCDMYM2YXO · pith_short_8: O5UCULQC

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/O5UCULQCDMYM2YXO75PAQSJYTQ \
  | 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: 77682a2e021b30cd62eeff5e0849389c21baad75c6aff34827f15512d55ffa49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e6a1247c24248d3523161fd272116143c61337a3bde59714004d1cc41c4734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-10-16T21:09:36Z",
    "title_canon_sha256": "47c45c7a1e3f9494003d7c063dc57daf55a5b743fe91f2d51ceb82a4397c1f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4591",
    "kind": "arxiv",
    "version": 1
  }
}