Pith Number

pith:WGLN42RR

pith:2014:WGLN42RRTXJWAY5W3UAUEYNCCZ

not attested not anchored not stored refs pending

Global existence and steady states of a two competing species Keller-Segel chemotaxis model

Jia Hu, Jingyue Yang, Lu Zhang, Qi Wang

arxiv:1407.0878 v2 · 2014-07-03 · 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{WGLN42RRTXJWAY5W3UAUEYNCCZ}

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	2026-05-18T00:56:58.995861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b196de6a319dd36063b6dd014261a216723a6e8122b0769ea95c0502acc3f6b0

Aliases

arxiv: 1407.0878 · arxiv_version: 1407.0878v2 · doi: 10.48550/arxiv.1407.0878 · pith_short_12: WGLN42RRTXJW · pith_short_16: WGLN42RRTXJWAY5W · pith_short_8: WGLN42RR

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/WGLN42RRTXJWAY5W3UAUEYNCCZ \
  | 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: b196de6a319dd36063b6dd014261a216723a6e8122b0769ea95c0502acc3f6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baff14159127e4477dc5d87237313b9316f6ece0bb784e38882eef54a7c6083c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-03T12:14:51Z",
    "title_canon_sha256": "8574c9f59517ebb06ff200ebaf682076f24b4c4c5149f1956d13732e3b4c43c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0878",
    "kind": "arxiv",
    "version": 2
  }
}