Pith Number

pith:W7W4XPSO

pith:2016:W7W4XPSOJ5U6TTINVTJIIRX67L

not attested not anchored not stored refs pending

Extremal energies of Laplacian operator: Different configurations for steady vortices

Seyyed Abbas Mohammadi

arxiv:1601.01254 v1 · 2016-01-06 · math.OC · math-ph · math.AP · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7W4XPSOJ5U6TTINVTJIIRX67L}

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	2026-05-18T01:23:17.399513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7edcbbe4e4f69e9cd0dacd28446fefafb298ccad6552f172489b9bd1b0a5ce2

Aliases

arxiv: 1601.01254 · arxiv_version: 1601.01254v1 · doi: 10.48550/arxiv.1601.01254 · pith_short_12: W7W4XPSOJ5U6 · pith_short_16: W7W4XPSOJ5U6TTIN · pith_short_8: W7W4XPSO

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/W7W4XPSOJ5U6TTINVTJIIRX67L \
  | 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: b7edcbbe4e4f69e9cd0dacd28446fefafb298ccad6552f172489b9bd1b0a5ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b6e98ebaa75af3ea3474e6721ff9be674c7a83d9ea9bf1927a21baba31aa50",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-06T18:19:45Z",
    "title_canon_sha256": "17e461e7b5ae8e7178e514193e09fc210acc3da594bc166a289a326dbb94f21c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01254",
    "kind": "arxiv",
    "version": 1
  }
}