Pith Number

pith:O5OBWVIV

pith:2024:O5OBWVIVRWALRVQV7CF2AJITGG

not attested not anchored not stored refs pending

On the stability of Type I self-similar blowups for the Keller-Segel system in three dimensions and higher

Charles Collot, Kaiqiang Zhang

arxiv:2406.11358 v2 · 2024-06-17 · 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{O5OBWVIVRWALRVQV7CF2AJITGG}

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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.

Cited by

2 papers in Pith

Classification of the dynamics of radial solutions to the 2D parabolic-elliptic Keller-Segel System

Determination of the long-time dynamics for the 2D Keller-Segel equation at critical mass

Receipt and verification

First computed	2026-07-05T08:51:18.305145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

775c1b55158d80b8d615f88ba0251331a2b53582b4b3ebc7d88a6dea0209c5eb

Aliases

arxiv: 2406.11358 · arxiv_version: 2406.11358v2 · doi: 10.48550/arxiv.2406.11358 · pith_short_12: O5OBWVIVRWAL · pith_short_16: O5OBWVIVRWALRVQV · pith_short_8: O5OBWVIV

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/O5OBWVIVRWALRVQV7CF2AJITGG \
  | 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: 775c1b55158d80b8d615f88ba0251331a2b53582b4b3ebc7d88a6dea0209c5eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55df223641a1ba618a64b9694984e80c6158e0826fbcfd0bb677a44919c0f46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-17T09:25:18Z",
    "title_canon_sha256": "4a2dd0bfe3390727986f3c85fd7c5d8dc943f1aae917d2a9fbaedc979590a165"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.11358",
    "kind": "arxiv",
    "version": 2
  }
}