Pith Number

pith:H7WEKHBV

pith:2006:H7WEKHBV4HF7VS63VF5BMPERG5

not attested not anchored not stored refs pending

The support of the logarithmic equilibrium measure on sets of revolution in $\R^3$

D. P. Hardin, E. B. Saff, H. Stahl

arxiv:math-ph/0605034 v1 · 2006-05-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7WEKHBV4HF7VS63VF5BMPERG5}

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	2026-05-18T01:38:32.866471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fec451c35e1cbfacbdba97a163c913766a5ef98e0520e81c0cd8c2155bc868d

Aliases

arxiv: math-ph/0605034 · arxiv_version: math-ph/0605034v1 · doi: 10.48550/arxiv.math-ph/0605034 · pith_short_12: H7WEKHBV4HF7 · pith_short_16: H7WEKHBV4HF7VS63 · pith_short_8: H7WEKHBV

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/H7WEKHBV4HF7VS63VF5BMPERG5 \
  | 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: 3fec451c35e1cbfacbdba97a163c913766a5ef98e0520e81c0cd8c2155bc868d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6acd4dae4b9bfb1f01c35d583d85092f40eb86dd7b3943d45d98d31f46d5fd7b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-05-09T17:24:58Z",
    "title_canon_sha256": "47af121913f75a1e15027ecbb92b843cfbd157399cf08ce3736e9a176d6afdaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0605034",
    "kind": "arxiv",
    "version": 1
  }
}