Pith Number

pith:FTVFYQWR

pith:2019:FTVFYQWREO3PZKHXVDESIW3WW2

not attested not anchored not stored refs pending

The microscopic derivation and well-posedness of the stochastic Keller-Segel equation

Hui Huang, Jinniao Qiu

arxiv:1908.03375 v3 · 2019-08-09 · math.AP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTVFYQWREO3PZKHXVDESIW3WW2}

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	2026-07-05T01:37:03.725486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cea5c42d123b6fca8f7a8c9245b76b687868d0d9fe9c703b75d17d0c7a1eb03

Aliases

arxiv: 1908.03375 · arxiv_version: 1908.03375v3 · doi: 10.48550/arxiv.1908.03375 · pith_short_12: FTVFYQWREO3P · pith_short_16: FTVFYQWREO3PZKHX · pith_short_8: FTVFYQWR

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/FTVFYQWREO3PZKHXVDESIW3WW2 \
  | 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: 2cea5c42d123b6fca8f7a8c9245b76b687868d0d9fe9c703b75d17d0c7a1eb03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d851f312779d6189bab1a717c1753b298acae167df556bcae58c022131df37",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-09T09:05:33Z",
    "title_canon_sha256": "7d5b3137cc9501e9f51f18f1ec600ee7d475fdc48384bd6137baafd951422b24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03375",
    "kind": "arxiv",
    "version": 3
  }
}