Pith Number

pith:ZB5CSMSV

pith:2011:ZB5CSMSV7LKIGL4NKG5XS36ESU

not attested not anchored not stored refs pending

On partial regularity of steady-state solutions to the 6D Navier-Stokes equations

Hongjie Dong, Robert M. Strain

arxiv:1101.5580 v2 · 2011-01-28 · 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{ZB5CSMSV7LKIGL4NKG5XS36ESU}

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	2026-05-18T01:20:22.589374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87a293255fad4832f8d51bb796fc4951600a2840c2d4f5eebf6eb33b4a9288b

Aliases

arxiv: 1101.5580 · arxiv_version: 1101.5580v2 · doi: 10.48550/arxiv.1101.5580 · pith_short_12: ZB5CSMSV7LKI · pith_short_16: ZB5CSMSV7LKIGL4N · pith_short_8: ZB5CSMSV

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/ZB5CSMSV7LKIGL4NKG5XS36ESU \
  | 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: c87a293255fad4832f8d51bb796fc4951600a2840c2d4f5eebf6eb33b4a9288b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6519236713bd5df30d48182502c21c9e38330d8989ae33a68bdc4bf64d991c51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-28T17:16:22Z",
    "title_canon_sha256": "7c4c9506ac908297373392cc7495ea22237a276745d8022f4d0029fa935ac3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5580",
    "kind": "arxiv",
    "version": 2
  }
}