Pith Number

pith:O6RJEP7B

pith:2011:O6RJEP7BDBZKJARSNWTYAXAHFA

not attested not anchored not stored refs pending

On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher

Adrien Blanchet (GREMAQ)

arxiv:1109.1543 v1 · 2011-09-07 · 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{O6RJEP7BDBZKJARSNWTYAXAHFA}

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	2026-05-18T04:13:55.504688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77a2923fe11872a482326da7805c07283abeda30e26c3898f69097cfaf6f5aa6

Aliases

arxiv: 1109.1543 · arxiv_version: 1109.1543v1 · doi: 10.48550/arxiv.1109.1543 · pith_short_12: O6RJEP7BDBZK · pith_short_16: O6RJEP7BDBZKJARS · pith_short_8: O6RJEP7B

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/O6RJEP7BDBZKJARSNWTYAXAHFA \
  | 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: 77a2923fe11872a482326da7805c07283abeda30e26c3898f69097cfaf6f5aa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f320c755a7a010cfb3e02428c61e643fd655a9013df40dce74b43bbd6023af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-07T19:39:14Z",
    "title_canon_sha256": "4316d3380a9d0dec8dee6260b6c557c22e571c7782d706de7c1147fc51742f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1543",
    "kind": "arxiv",
    "version": 1
  }
}