Pith Number

pith:CXUN6SN5

pith:2012:CXUN6SN5KK6YAWJIGJSW4WLSN3

not attested not anchored not stored refs pending

Global Well-posedness of the Parabolic-parabolic Keller-Segel Model in $L^{1}(R^2)\times{L}^{\infty}(R^2)$ and $H^1_b(R^2)\times{H}^1(R^2)$

Chao Deng, Congming Li

arxiv:1210.3429 v1 · 2012-10-12 · 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{CXUN6SN5KK6YAWJIGJSW4WLSN3}

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	2026-05-18T03:43:19.900901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15e8df49bd52bd80592832656e59726ed03dd2b4c4fab6e6248557b9a3c3f27a

Aliases

arxiv: 1210.3429 · arxiv_version: 1210.3429v1 · doi: 10.48550/arxiv.1210.3429 · pith_short_12: CXUN6SN5KK6Y · pith_short_16: CXUN6SN5KK6YAWJI · pith_short_8: CXUN6SN5

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/CXUN6SN5KK6YAWJIGJSW4WLSN3 \
  | 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: 15e8df49bd52bd80592832656e59726ed03dd2b4c4fab6e6248557b9a3c3f27a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12da366279827d1191e3405e8e1184d8b3c58463feee6499eaeff51120838685",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-12T04:36:48Z",
    "title_canon_sha256": "71765c10e222afb9865195aa02eed88a6c92df86eb80a6a8aac69535e55b14d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3429",
    "kind": "arxiv",
    "version": 1
  }
}