Pith Number

pith:PZTXSGQV

pith:2012:PZTXSGQVUS3PJASFIII5AOZU72

not attested not anchored not stored refs pending

A thermodynamic classification of pairs of real numbers via the Triangle Multi-dimensional continued fraction

Thomas Garrity

arxiv:1205.5663 v1 · 2012-05-25 · math.NT · 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{PZTXSGQVUS3PJASFIII5AOZU72}

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	2026-05-18T03:54:50.643042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e67791a15a4b6f482454211d03b34fe96770fdb9ac0ff1e0826357e2a71b389

Aliases

arxiv: 1205.5663 · arxiv_version: 1205.5663v1 · doi: 10.48550/arxiv.1205.5663 · pith_short_12: PZTXSGQVUS3P · pith_short_16: PZTXSGQVUS3PJASF · pith_short_8: PZTXSGQV

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/PZTXSGQVUS3PJASFIII5AOZU72 \
  | 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: 7e67791a15a4b6f482454211d03b34fe96770fdb9ac0ff1e0826357e2a71b389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75785bc5c6ae829ebda1743fb6f514e163201e373ddcc8f91a7f964972c12b94",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-25T11:24:02Z",
    "title_canon_sha256": "a370a5e045e1b2092d381e0698e190c2da780bf0b1575462e0a4af2a165c6846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5663",
    "kind": "arxiv",
    "version": 1
  }
}