Pith Number

pith:LBCTSWW3

pith:2026:LBCTSWW3QU32766KTAH2WW2E7G

not attested not anchored not stored refs pending

Global Regularity for Axisymmetric Navier--Stokes Flows with Swirl

Rishad Shahmurov

arxiv:2606.07869 v1 · 2026-06-05 · 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{LBCTSWW3QU32766KTAH2WW2E7G}

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	2026-06-09T01:04:54.182609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5845395adb8537affbca980fab5b44f994c849e839f8b8e4fbeee12b68eff027

Aliases

arxiv: 2606.07869 · arxiv_version: 2606.07869v1 · doi: 10.48550/arxiv.2606.07869 · pith_short_12: LBCTSWW3QU32 · pith_short_16: LBCTSWW3QU32766K · pith_short_8: LBCTSWW3

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/LBCTSWW3QU32766KTAH2WW2E7G \
  | 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: 5845395adb8537affbca980fab5b44f994c849e839f8b8e4fbeee12b68eff027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "146d6b0841c000c4af88d4a066856e8c2bcd950ee1d59ca7d033d5defeb07cb5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-05T22:01:14Z",
    "title_canon_sha256": "37dbcea4086b549c82bbd8e7a760d3ac0bae6e9853649722927634ea390cd904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07869",
    "kind": "arxiv",
    "version": 1
  }
}