Pith Number

pith:NWB2I4VX

pith:2018:NWB2I4VX3D5VZOCDVSZ7SPS35U

not attested not anchored not stored refs pending

Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass

Jun Wang, Wen Yang, Zhi-An Wang

arxiv:1804.03319 v2 · 2018-04-10 · 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{NWB2I4VX3D5VZOCDVSZ7SPS35U}

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	2026-05-18T00:18:45.409401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d83a472b7d8fb5cb843acb3f93e5bed1704e084cb31ea4c3a6556f998e70e5b

Aliases

arxiv: 1804.03319 · arxiv_version: 1804.03319v2 · doi: 10.48550/arxiv.1804.03319 · pith_short_12: NWB2I4VX3D5V · pith_short_16: NWB2I4VX3D5VZOCD · pith_short_8: NWB2I4VX

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/NWB2I4VX3D5VZOCDVSZ7SPS35U \
  | 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: 6d83a472b7d8fb5cb843acb3f93e5bed1704e084cb31ea4c3a6556f998e70e5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "260bbf4fab489e8430355d1dc790b0653050125c921697be4843c019cab96527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-10T02:54:56Z",
    "title_canon_sha256": "c0d8c5a007de1c4ffa2c90b2a9ff9704825148293492da0f594cd5ef3a7cc824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03319",
    "kind": "arxiv",
    "version": 2
  }
}