Pith Number

pith:OTNAOFOQ

pith:2026:OTNAOFOQVPIDFYFN5JHV7LLXZR

not attested not anchored not stored refs pending

The stochastic Keller--Segel system in critical spaces

Andrea Pitrone, Ankit Kumar, Jae-Hwan Choi, Max Sauerbrey, Shyam Popat

arxiv:2607.27472 v1 · 2026-07-29 · math.PR · 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{OTNAOFOQVPIDFYFN5JHV7LLXZR}

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	2026-07-31T01:23:48.106686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

74da0715d0abd032e0adea4f5fad77cc5aa0210169575f96429d3c4de0be5a08

Aliases

arxiv: 2607.27472 · arxiv_version: 2607.27472v1 · doi: 10.48550/arxiv.2607.27472 · pith_short_12: OTNAOFOQVPID · pith_short_16: OTNAOFOQVPIDFYFN · pith_short_8: OTNAOFOQ

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/OTNAOFOQVPIDFYFN5JHV7LLXZR \
  | 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: 74da0715d0abd032e0adea4f5fad77cc5aa0210169575f96429d3c4de0be5a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13797eb17117aa5f0c69c64c21dd8761984c6b3b4df9f30ec2910cd7e62321c5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-29T21:24:40Z",
    "title_canon_sha256": "571fd0e643f6d65bba8dba34f2759f1276896fb6ec0eb2b33103cbde3760a312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27472",
    "kind": "arxiv",
    "version": 1
  }
}