Pith Number

pith:ASRXBVZT

pith:2011:ASRXBVZTJAQEOEQFCW7ASPIQOR

not attested not anchored not stored refs pending

Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

Michael Winkler, Youshan Tao

arxiv:1106.5345 v1 · 2011-06-27 · 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{ASRXBVZTJAQEOEQFCW7ASPIQOR}

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	2026-05-18T04:19:13.770918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a370d733482047120515be093d107474029ded5151a4478dfd65ea188e1cf9

Aliases

arxiv: 1106.5345 · arxiv_version: 1106.5345v1 · doi: 10.48550/arxiv.1106.5345 · pith_short_12: ASRXBVZTJAQE · pith_short_16: ASRXBVZTJAQEOEQF · pith_short_8: ASRXBVZT

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/ASRXBVZTJAQEOEQFCW7ASPIQOR \
  | 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: 04a370d733482047120515be093d107474029ded5151a4478dfd65ea188e1cf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8d1865aa68df4327c0cb6290069ee62e02f037fe608a0729d52e898c426ba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-27T10:11:57Z",
    "title_canon_sha256": "75ac18d49055ee71a2ddb85c9d3da9d90eb535dea56f03081b276533d3b0475e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5345",
    "kind": "arxiv",
    "version": 1
  }
}