Pith Number

pith:WWD6WMGW

pith:2012:WWD6WMGW64YTR3UXGSEAQG77D3

not attested not anchored not stored refs pending

A new formulation for the 3-D Euler equations with an application to subsonic flows in a cylinder

Shangkun Weng

arxiv:1212.1635 v3 · 2012-12-07 · 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{WWD6WMGW64YTR3UXGSEAQG77D3}

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	2026-05-18T01:19:06.576956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b587eb30d6f73138ee973488081bff1ed6841b821b91efe1ab64cb8203d96266

Aliases

arxiv: 1212.1635 · arxiv_version: 1212.1635v3 · doi: 10.48550/arxiv.1212.1635 · pith_short_12: WWD6WMGW64YT · pith_short_16: WWD6WMGW64YTR3UX · pith_short_8: WWD6WMGW

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/WWD6WMGW64YTR3UXGSEAQG77D3 \
  | 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: b587eb30d6f73138ee973488081bff1ed6841b821b91efe1ab64cb8203d96266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b759a2ada5530f4f2bb3c5ee54a06799bc73a3b7219bec6d744d5af931bfa9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-07T15:50:46Z",
    "title_canon_sha256": "7dcac39336b12cbbb69de54864c717ac54b584cdcb36289388cd7ec49a7295d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1635",
    "kind": "arxiv",
    "version": 3
  }
}