Pith Number

pith:HNZNEFZE

pith:2026:HNZNEFZENIIYOVH4EPIIWF7NXB

not attested not anchored not stored refs pending

A Structural Audit of Navier-Stokes Obstruction Calculus

Runlong Yu

arxiv:2606.25341 v1 · 2026-06-24 · 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{HNZNEFZENIIYOVH4EPIIWF7NXB}

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	2026-06-25T01:18:02.595738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b72d217246a118754fc23d08b17edb8716c2fb1385af8a0b177567185c58430

Aliases

arxiv: 2606.25341 · arxiv_version: 2606.25341v1 · doi: 10.48550/arxiv.2606.25341 · pith_short_12: HNZNEFZENIIY · pith_short_16: HNZNEFZENIIYOVH4 · pith_short_8: HNZNEFZE

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/HNZNEFZENIIYOVH4EPIIWF7NXB \
  | 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: 3b72d217246a118754fc23d08b17edb8716c2fb1385af8a0b177567185c58430

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e31a53767dd7014a03fe72be61dfee1faec920815cde52697bae3b6151f9366",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-24T03:13:24Z",
    "title_canon_sha256": "028c7c4f082b8e04410ec5f003989a425b802913057b4391c81634fc9f7c7740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25341",
    "kind": "arxiv",
    "version": 1
  }
}