Pith Number

pith:TKHKA5ME

pith:2010:TKHKA5MEPTN5SHXVBJVF4CRJLD

not attested not anchored not stored refs pending

Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion

Andrea Bertozzi, Jacob Bedrossian, Nancy Rodr\'iguez

arxiv:1009.2674 v2 · 2010-09-14 · 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{TKHKA5MEPTN5SHXVBJVF4CRJLD}

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	2026-05-18T02:05:30.647357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a8ea075847cdbd91ef50a6a5e0a2958ff5929f8a6c971c5e4b51cf3efb44bfe

Aliases

arxiv: 1009.2674 · arxiv_version: 1009.2674v2 · doi: 10.48550/arxiv.1009.2674 · pith_short_12: TKHKA5MEPTN5 · pith_short_16: TKHKA5MEPTN5SHXV · pith_short_8: TKHKA5ME

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/TKHKA5MEPTN5SHXVBJVF4CRJLD \
  | 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: 9a8ea075847cdbd91ef50a6a5e0a2958ff5929f8a6c971c5e4b51cf3efb44bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa7f965d5a97b8e76f5d1390aee058bc6f896ecd70554813a198c0ffcdeb3122",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-14T14:09:54Z",
    "title_canon_sha256": "8e56549620b1ae69018bd659e35935cd65fd26a72b0f78dd8f1912f686673deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2674",
    "kind": "arxiv",
    "version": 2
  }
}