Pith Number

pith:D4VSTXDL

pith:2013:D4VSTXDLWRRH7X5VT6BSXCU5H6

not attested not anchored not stored refs pending

Global existence and temporal decay in Keller-Segel models coupled to fluid equations

Jihoon Lee, Kyungkeun Kang, Myeongju Chae

arxiv:1304.7536 v1 · 2013-04-28 · 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{D4VSTXDLWRRH7X5VT6BSXCU5H6}

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	2026-05-18T03:26:53.750309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2b29dc6bb4627fdfb59f832b8a9d3fa127140e383fb8c6694be8b24079b8ea

Aliases

arxiv: 1304.7536 · arxiv_version: 1304.7536v1 · doi: 10.48550/arxiv.1304.7536 · pith_short_12: D4VSTXDLWRRH · pith_short_16: D4VSTXDLWRRH7X5V · pith_short_8: D4VSTXDL

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/D4VSTXDLWRRH7X5VT6BSXCU5H6 \
  | 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: 1f2b29dc6bb4627fdfb59f832b8a9d3fa127140e383fb8c6694be8b24079b8ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8a6490a45963055352883cbeea699acf21f507371886f6dfbe317fc9a270cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-28T23:39:58Z",
    "title_canon_sha256": "fc91d4ded0a611ea7378ef130bc18b290a81efba06daf6772e8bd34446c3c321"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7536",
    "kind": "arxiv",
    "version": 1
  }
}