Pith Number

pith:B5E7ADXB

pith:2015:B5E7ADXBTYD6M3MNHJS5ZDPJ2E

not attested not anchored not stored refs pending

On blowup of nonendpoint borderline Lorentz norms for the Navier-Stokes equations

G. Seregin, T. Barker

arxiv:1510.09178 v1 · 2015-10-30 · 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{B5E7ADXBTYD6M3MNHJS5ZDPJ2E}

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	2026-05-18T01:28:22.453232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f49f00ee19e07e66d8d3a65dc8de9d12593074f7a59af6deb523fc56e5b3ccc

Aliases

arxiv: 1510.09178 · arxiv_version: 1510.09178v1 · doi: 10.48550/arxiv.1510.09178 · pith_short_12: B5E7ADXBTYD6 · pith_short_16: B5E7ADXBTYD6M3MN · pith_short_8: B5E7ADXB

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/B5E7ADXBTYD6M3MNHJS5ZDPJ2E \
  | 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: 0f49f00ee19e07e66d8d3a65dc8de9d12593074f7a59af6deb523fc56e5b3ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f4229d35708e7a05fcd59dfa5a41e56b5cc3d4d22a71c4d6b6c7f594da32512",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-30T17:56:19Z",
    "title_canon_sha256": "4c8b01a78d9e06c1f1a173ddfa93b946ff6ad0e6aef23f8bdd7def2cfd310ce3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09178",
    "kind": "arxiv",
    "version": 1
  }
}