Pith Number

pith:SKTPW4A5

pith:2018:SKTPW4A5QWEMHJNTZUBK66YBFF

not attested not anchored not stored refs pending

A new result for boundedness in the quasilinear parabolic-parabolic Keller-Segel model (with logistic source)

Jiashan Zheng

arxiv:1808.03544 v1 · 2018-08-10 · 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{SKTPW4A5QWEMHJNTZUBK66YBFF}

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	2026-05-18T00:08:24.707626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92a6fb701d8588c3a5b3cd02af7b01294c83c9247d7dcd5fade2ee4109c055c4

Aliases

arxiv: 1808.03544 · arxiv_version: 1808.03544v1 · doi: 10.48550/arxiv.1808.03544 · pith_short_12: SKTPW4A5QWEM · pith_short_16: SKTPW4A5QWEMHJNT · pith_short_8: SKTPW4A5

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/SKTPW4A5QWEMHJNTZUBK66YBFF \
  | 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: 92a6fb701d8588c3a5b3cd02af7b01294c83c9247d7dcd5fade2ee4109c055c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3ed54522d7de0b63adcba6ee402ee85e30239469507c24d694a637c99f8884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-10T13:51:01Z",
    "title_canon_sha256": "72f0cff67acfa0c9b3b4cb93c8877b59c6e7530a290d1b9374c9d022250623e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03544",
    "kind": "arxiv",
    "version": 1
  }
}