Pith Number

pith:NGOKJQNX

pith:2025:NGOKJQNXTRSPE6F3JMNZKYESVS

not attested not anchored not stored refs pending

Stationary solutions with vacuum for a hyperbolic-parabolic chemotaxis model in dimension two

Diego Y\'epez, Kun Zhao, Sophia Hertrich, Tao Huang

arxiv:2501.10238 v1 · 2025-01-17 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGOKJQNXTRSPE6F3JMNZKYESVS}

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	2026-07-05T10:02:18.846978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699ca4c1b79c64f278bb4b1b956092ac902c3c1e7907d0dc5abf095741f0ab94

Aliases

arxiv: 2501.10238 · arxiv_version: 2501.10238v1 · doi: 10.48550/arxiv.2501.10238 · pith_short_12: NGOKJQNXTRSP · pith_short_16: NGOKJQNXTRSPE6F3 · pith_short_8: NGOKJQNX

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/NGOKJQNXTRSPE6F3JMNZKYESVS \
  | 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: 699ca4c1b79c64f278bb4b1b956092ac902c3c1e7907d0dc5abf095741f0ab94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad0c8537e3b73833d99444d2181f993a2fb97429dc5254fe48b6a2feaaade28",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-17T15:03:15Z",
    "title_canon_sha256": "c0112f74d69808cb01bbcf29a5dfae7191fd18a616e855927b1744d085c72ff7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10238",
    "kind": "arxiv",
    "version": 1
  }
}