Pith Number

pith:3ZNDM7NF

pith:2017:3ZNDM7NFB4TAIFQ3J65P5RPRBR

not attested not anchored not stored refs pending

Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system

Tobias Black

arxiv:1705.06131 v1 · 2017-05-17 · 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{3ZNDM7NFB4TAIFQ3J65P5RPRBR}

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	2026-05-18T00:15:05.557113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5a367da50f2604161b4fbafec5f10c460ece2315cbb447eeeb80a1e02f81c5

Aliases

arxiv: 1705.06131 · arxiv_version: 1705.06131v1 · doi: 10.48550/arxiv.1705.06131 · pith_short_12: 3ZNDM7NFB4TA · pith_short_16: 3ZNDM7NFB4TAIFQ3 · pith_short_8: 3ZNDM7NF

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/3ZNDM7NFB4TAIFQ3J65P5RPRBR \
  | 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: de5a367da50f2604161b4fbafec5f10c460ece2315cbb447eeeb80a1e02f81c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b58406fb52658b2cfd64f14387f830e7a705935e10c55cb595b8ef1bf783e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-17T12:49:57Z",
    "title_canon_sha256": "e4dc4942ebecc64f1d31dd197cfbb40cb42e4440a30a29d59284a33a755e2f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06131",
    "kind": "arxiv",
    "version": 1
  }
}