Pith Number

pith:VW3UFNPN

pith:2015:VW3UFNPNV6U5A2FF4P74T5VSTS

not attested not anchored not stored refs pending

Fast and accurate computation of the logarithmic capacity of compact sets

J\"org Liesen, Mohamed M.S. Nasser, Olivier S\`ete

arxiv:1507.05793 v2 · 2015-07-21 · math.NA · cs.NA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW3UFNPNV6U5A2FF4P74T5VSTS}

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	2026-06-04T17:09:25.035795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb742b5edafa9d068a5e3ffc9f6b29cbaff09ef35d1583262acaa45a874e584

Aliases

arxiv: 1507.05793 · arxiv_version: 1507.05793v2 · doi: 10.48550/arxiv.1507.05793 · pith_short_12: VW3UFNPNV6U5 · pith_short_16: VW3UFNPNV6U5A2FF · pith_short_8: VW3UFNPN

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/VW3UFNPNV6U5A2FF4P74T5VSTS \
  | 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: adb742b5edafa9d068a5e3ffc9f6b29cbaff09ef35d1583262acaa45a874e584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88a87fb58296fcb74e313abc1a4b612067f8c1e1bbd2eecffc1e69176ea8461",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-07-21T11:31:53Z",
    "title_canon_sha256": "5d5c0110738c1e8b61c1c250c779b9f6acca9a3dfe21fbb121b163efd3607b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05793",
    "kind": "arxiv",
    "version": 2
  }
}