Pith Number

pith:3UHQZYZM

pith:2025:3UHQZYZMUHVLVPWOGOLZTR2ZB4

not attested not anchored not stored refs pending

Functional Reformulation of the Continuity Equation in Gases with Constant Density and its Application to the Existence Problem of Smooth Solutions to the Navier Stokes System

Ernesto D. Aguirre

arxiv:2507.02923 v1 · 2025-06-25 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UHQZYZMUHVLVPWOGOLZTR2ZB4}

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	2026-07-05T11:31:48.806918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0f0ce32ca1eababece339799c7590f044719850d18f8a8dae532a384bf8797

Aliases

arxiv: 2507.02923 · arxiv_version: 2507.02923v1 · doi: 10.48550/arxiv.2507.02923 · pith_short_12: 3UHQZYZMUHVL · pith_short_16: 3UHQZYZMUHVLVPWO · pith_short_8: 3UHQZYZM

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/3UHQZYZMUHVLVPWOGOLZTR2ZB4 \
  | 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: dd0f0ce32ca1eababece339799c7590f044719850d18f8a8dae532a384bf8797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf16d3f0a3a312f895614c522ff07a1a5931f69c375fdce1759debdfa5e9cda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-25T18:21:14Z",
    "title_canon_sha256": "b4275d8b5d925ce4e182143606fa6e9132ce9a164d8419c7c1e7f29d8ceaee6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02923",
    "kind": "arxiv",
    "version": 1
  }
}