Pith Number

pith:UEQK73YY

pith:2013:UEQK73YYNPZSWJMDI2BBJ63MJP

not attested not anchored not stored refs pending

Sharp Condition for blow-up and global existence in a two species chemotactic Keller-Segel system in $\mathbb{R}^2$

Carlos Conca, Elio E. Espejo, Karina Vilches

arxiv:1310.2485 v1 · 2013-10-09 · 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{UEQK73YYNPZSWJMDI2BBJ63MJP}

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	2026-05-18T03:10:56.576988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a120afef186bf32b2583468214fb6c4bfb390313d4655969f8caf05c0b73be5d

Aliases

arxiv: 1310.2485 · arxiv_version: 1310.2485v1 · doi: 10.48550/arxiv.1310.2485 · pith_short_12: UEQK73YYNPZS · pith_short_16: UEQK73YYNPZSWJMD · pith_short_8: UEQK73YY

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/UEQK73YYNPZSWJMDI2BBJ63MJP \
  | 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: a120afef186bf32b2583468214fb6c4bfb390313d4655969f8caf05c0b73be5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4997db188a64dd7c3a352b4dd15da1bba433d3c2192cef4f68d3d11c81024e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-09T13:53:34Z",
    "title_canon_sha256": "320feff35064d0acdf1a35bedc66278f0a4897ed0acb6419b3ca213df2687c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2485",
    "kind": "arxiv",
    "version": 1
  }
}