Pith Number

pith:YU3MFQKD

pith:2022:YU3MFQKD5DFUTZJOMNCUDPBIQB

not attested not anchored not stored refs pending

Uniqueness of the stochastic Keller-Segel model in one dimension

Debopriya Mukherjee, Erika Hausenblas, Thanh Tran

arxiv:2209.13188 v1 · 2022-09-27 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YU3MFQKD5DFUTZJOMNCUDPBIQB}

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	2026-07-05T05:01:07.592689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c536c2c143e8cb49e52e634541bc28806c612c0985a28b4c727e7501c9df325b

Aliases

arxiv: 2209.13188 · arxiv_version: 2209.13188v1 · doi: 10.48550/arxiv.2209.13188 · pith_short_12: YU3MFQKD5DFU · pith_short_16: YU3MFQKD5DFUTZJO · pith_short_8: YU3MFQKD

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/YU3MFQKD5DFUTZJOMNCUDPBIQB \
  | 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: c536c2c143e8cb49e52e634541bc28806c612c0985a28b4c727e7501c9df325b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76ecbc0259579b93326ab2cb72480b5c02c1569ee60173c780ace3d671e2b8be",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-27T06:44:06Z",
    "title_canon_sha256": "b20a9633f2a4e254701b660534048b190a7e6dbac8c069e31dc52f65fd6b35c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13188",
    "kind": "arxiv",
    "version": 1
  }
}