Pith Number

pith:BKRDNLVK

pith:2026:BKRDNLVKHO4SVTWGZLINDLS2KV

not attested not anchored not stored refs pending

Martingale Solutions to a Stochastic Keller-Segel System with nonlocal Source and Super-linear Noise

Jinhuan Wang, Li Chen, Qian Li

arxiv:2606.11774 v1 · 2026-06-10 · math.PR · 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{BKRDNLVKHO4SVTWGZLINDLS2KV}

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	2026-06-11T01:10:07.187264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa236aeaa3bb92acec6cad0d1ae5a556b86112bba8897a5010b59efdcce93fd

Aliases

arxiv: 2606.11774 · arxiv_version: 2606.11774v1 · doi: 10.48550/arxiv.2606.11774 · pith_short_12: BKRDNLVKHO4S · pith_short_16: BKRDNLVKHO4SVTWG · pith_short_8: BKRDNLVK

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/BKRDNLVKHO4SVTWGZLINDLS2KV \
  | 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: 0aa236aeaa3bb92acec6cad0d1ae5a556b86112bba8897a5010b59efdcce93fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1d2e96f15c942e1403986d36be63d7541775ecb292724a2a9ebb2f497b2b57",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-10T08:02:01Z",
    "title_canon_sha256": "9062cdaebe0240c0a8e0dd513827dc0df8607d31f31f4610cdb1a8c41853aa85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11774",
    "kind": "arxiv",
    "version": 1
  }
}