Pith Number

pith:OCK73JVI

pith:2015:OCK73JVIF32HRRLRCCODKREU7D

not attested not anchored not stored refs pending

H\"older regularity and Uniqueness theorem on weak solutions to the degenerate Keller-Segel system

Ki-Ahm Lee, SungHoon Kim

arxiv:1503.07268 v1 · 2015-03-25 · 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{OCK73JVIF32HRRLRCCODKREU7D}

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	2026-05-18T02:20:27.863448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7095fda6a82ef478c571109c354494f8cfacf42992825dfd3189694b6803b216

Aliases

arxiv: 1503.07268 · arxiv_version: 1503.07268v1 · doi: 10.48550/arxiv.1503.07268 · pith_short_12: OCK73JVIF32H · pith_short_16: OCK73JVIF32HRRLR · pith_short_8: OCK73JVI

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/OCK73JVIF32HRRLRCCODKREU7D \
  | 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: 7095fda6a82ef478c571109c354494f8cfacf42992825dfd3189694b6803b216

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d6b7f3abaa2c19d3846eac7c6d7414d9709f5d95e52843f998521869e61f22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-25T03:07:00Z",
    "title_canon_sha256": "4ccaaa6627b65651d7b7fc49693ddd20da01afffb0ef32fdfa06d4db71ae856d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07268",
    "kind": "arxiv",
    "version": 1
  }
}