Pith Number

pith:V7M5QIN5

pith:2017:V7M5QIN5GU6756YYZ7XLI4NOE2

not attested not anchored not stored refs pending

Isotropic constants and Mahler volumes

Bo'az Klartag

arxiv:1710.08084 v2 · 2017-10-23 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7M5QIN5GU6756YYZ7XLI4NOE2}

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	2026-05-18T00:22:15.926537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afd9d821bd353dfefb18cfeeb471ae26b747c86aa72ff3d435bb8f22598ee627

Aliases

arxiv: 1710.08084 · arxiv_version: 1710.08084v2 · doi: 10.48550/arxiv.1710.08084 · pith_short_12: V7M5QIN5GU67 · pith_short_16: V7M5QIN5GU6756YY · pith_short_8: V7M5QIN5

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/V7M5QIN5GU6756YYZ7XLI4NOE2 \
  | 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: afd9d821bd353dfefb18cfeeb471ae26b747c86aa72ff3d435bb8f22598ee627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8015e72c248ec9ce07b07579760f9eb78675a019eee8fee585d204f01fc964d6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-10-23T04:26:31Z",
    "title_canon_sha256": "09a2203321c99f1821d7af0890a9c14ef12e73328ce466f70c40d25221ab7b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08084",
    "kind": "arxiv",
    "version": 2
  }
}