Pith Number

pith:TOJKTCTG

pith:2026:TOJKTCTGLPOW77WP4LNRKNCPUW

not attested not anchored not stored refs pending

Classification of the dynamics of radial solutions to the 2D parabolic-elliptic Keller-Segel System

Charles Collot, Federico Buseghin

arxiv:2606.20870 v1 · 2026-06-18 · 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{TOJKTCTGLPOW77WP4LNRKNCPUW}

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	2026-06-23T00:12:01.359758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b92a98a665bdd6ffecfe2db15344fa5b6b5202d15bb65a11610b3bfd372c4ce

Aliases

arxiv: 2606.20870 · arxiv_version: 2606.20870v1 · doi: 10.48550/arxiv.2606.20870 · pith_short_12: TOJKTCTGLPOW · pith_short_16: TOJKTCTGLPOW77WP · pith_short_8: TOJKTCTG

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/TOJKTCTGLPOW77WP4LNRKNCPUW \
  | 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: 9b92a98a665bdd6ffecfe2db15344fa5b6b5202d15bb65a11610b3bfd372c4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ecc59adf3cfb94a5e72db32ce3d4f86c3c82c045b18b15e7d1131a6b2b291d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-18T19:02:01Z",
    "title_canon_sha256": "625aa393b0ac4ebff46318a1fc6c4ec2de4e8066e97ac1f77444180c360bfbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20870",
    "kind": "arxiv",
    "version": 1
  }
}