Pith Number

pith:SDVR7JDL

pith:2012:SDVR7JDLRCIMO2FIE4JCKCMYZL

not attested not anchored not stored refs pending

Well-posedness of a Parabolic-hyperbolic Keller-Segel System in the Sobolev Space Framework

Chao Deng, Tong Li

arxiv:1210.8214 v1 · 2012-10-31 · 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{SDVR7JDLRCIMO2FIE4JCKCMYZL}

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	2026-05-18T03:41:55.673259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90eb1fa46b8890c768a82712250998cac2c4d100cd72dae0ce8a6fb3c27ab11a

Aliases

arxiv: 1210.8214 · arxiv_version: 1210.8214v1 · doi: 10.48550/arxiv.1210.8214 · pith_short_12: SDVR7JDLRCIM · pith_short_16: SDVR7JDLRCIMO2FI · pith_short_8: SDVR7JDL

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/SDVR7JDLRCIMO2FIE4JCKCMYZL \
  | 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: 90eb1fa46b8890c768a82712250998cac2c4d100cd72dae0ce8a6fb3c27ab11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81ec1253d3560a83e2cf6b482a5099ad91f1b749798dd761c8bd78cdb08c8d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-31T02:02:39Z",
    "title_canon_sha256": "49e5bb56f583912c356708892b3e006a6ed6c3c9217725ec7a3cd1027786bc27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8214",
    "kind": "arxiv",
    "version": 1
  }
}