Pith Number

pith:HA5R37P7

pith:2006:HA5R37P7AAAOVWMBLBCKQ7KI6X

not attested not anchored not stored refs pending

Identities between Mahler measures

Fernando Rodriguez Villegas

arxiv:math/0612670 v1 · 2006-12-21 · 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{HA5R37P7AAAOVWMBLBCKQ7KI6X}

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	2026-05-18T00:19:48.191108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

383b1dfdff0000ead9815844a87d48f5d8b9ca14d23b80e4a6daf78ffaba120d

Aliases

arxiv: math/0612670 · arxiv_version: math/0612670v1 · doi: 10.48550/arxiv.math/0612670 · pith_short_12: HA5R37P7AAAO · pith_short_16: HA5R37P7AAAOVWMB · pith_short_8: HA5R37P7

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/HA5R37P7AAAOVWMBLBCKQ7KI6X \
  | 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: 383b1dfdff0000ead9815844a87d48f5d8b9ca14d23b80e4a6daf78ffaba120d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a21a0aec6612cc8ac3db1b82db33fce36ed2871de803d60ff17f8ca29f581d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-12-21T20:55:59Z",
    "title_canon_sha256": "4f83062ea3157de1ad582a47e86513e8b5ab8cf86673b001a46295a0a7caa65e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612670",
    "kind": "arxiv",
    "version": 1
  }
}