Pith Number

pith:7CB4YWIP

pith:2024:7CB4YWIPRVC3BTAIWS2Q26KA5B

not attested not anchored not stored refs pending

A Geometric Approach to the Navier-Stokes Equations

Sebastian Ali Sacasa-Cespedes

arxiv:2411.18724 v2 · 2024-11-27 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CB4YWIPRVC3BTAIWS2Q26KA5B}

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.

Cited by

1 paper in Pith

On Geometric Evolution and Microlocal Regularity of the Navier-Stokes Equations

Receipt and verification

First computed	2026-07-05T09:44:17.025881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f883cc590f8d45b0cc08b4b50d7940e86503c24174b944dea3b9d904f7e1353b

Aliases

arxiv: 2411.18724 · arxiv_version: 2411.18724v2 · doi: 10.48550/arxiv.2411.18724 · pith_short_12: 7CB4YWIPRVC3 · pith_short_16: 7CB4YWIPRVC3BTAI · pith_short_8: 7CB4YWIP

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/7CB4YWIPRVC3BTAIWS2Q26KA5B \
  | 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: f883cc590f8d45b0cc08b4b50d7940e86503c24174b944dea3b9d904f7e1353b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f7a93e0afd2b7afd7f21ba868a7719c86d44c42fb6e3a41c69096134d61899",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2024-11-27T19:54:45Z",
    "title_canon_sha256": "25361b4aebdf7bd251ae713bc8ff3e92019227475a9cfce6f35f453265b35632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18724",
    "kind": "arxiv",
    "version": 2
  }
}