Pith Number

pith:3HTPWN4O

pith:2018:3HTPWN4OQFC5436XBTOOD6B6YL

not attested not anchored not stored refs pending

A Keller-Segel-fluid system with singular sensitivity: Generalized solutions

Johannes Lankeit, Masaaki Mizukami, Tobias Black

arxiv:1805.09085 v1 · 2018-05-23 · 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{3HTPWN4OQFC5436XBTOOD6B6YL}

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	2026-05-17T23:45:38.407079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9e6fb378e8145de6fd70cdce1f83ec2d83378885a5d1fffcc05cb0ea59c3a6d

Aliases

arxiv: 1805.09085 · arxiv_version: 1805.09085v1 · doi: 10.48550/arxiv.1805.09085 · pith_short_12: 3HTPWN4OQFC5 · pith_short_16: 3HTPWN4OQFC5436X · pith_short_8: 3HTPWN4O

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/3HTPWN4OQFC5436XBTOOD6B6YL \
  | 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: d9e6fb378e8145de6fd70cdce1f83ec2d83378885a5d1fffcc05cb0ea59c3a6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2b91fe442fe63557f2304900d8a73ce10559830aebb46bb75e8f75eb3fee893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-23T12:18:11Z",
    "title_canon_sha256": "7082a85f7b2c331eb48d5fba47257f8d087386d2875e0dcecc62911e051e0d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09085",
    "kind": "arxiv",
    "version": 1
  }
}