Pith Number

pith:Q2B5PHVW

pith:2014:Q2B5PHVWUVX6CDBO6FKL757K6B

not attested not anchored not stored refs pending

Two inequalities on the areal Mahler measure

Charles L. Samuels, Stephen K.K. Choi

arxiv:1408.5040 v1 · 2014-08-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2B5PHVWUVX6CDBO6FKL757K6B}

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	2026-05-18T02:44:40.844554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8683d79eb6a56fe10c2ef154bff7eaf05ee7876dc7ebfbb43adae15a2cf82dce

Aliases

arxiv: 1408.5040 · arxiv_version: 1408.5040v1 · doi: 10.48550/arxiv.1408.5040 · pith_short_12: Q2B5PHVWUVX6 · pith_short_16: Q2B5PHVWUVX6CDBO · pith_short_8: Q2B5PHVW

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/Q2B5PHVWUVX6CDBO6FKL757K6B \
  | 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: 8683d79eb6a56fe10c2ef154bff7eaf05ee7876dc7ebfbb43adae15a2cf82dce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b82144b61b1517d31bbc426552445c9a3cb9a12ac29cfc184e55c83712c817",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T15:43:10Z",
    "title_canon_sha256": "fbaa9245d474ed1ebfbf21b6c2ebce3c0795d8e16cd7aba0a6864e7d71c9da23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5040",
    "kind": "arxiv",
    "version": 1
  }
}