Pith Number

pith:TAAFY5PJ

pith:2011:TAAFY5PJJZ47QBWMZZ5SANAEYC

not attested not anchored not stored refs pending

Euclid's Algorithm in quartic CM-fields

Franz Lemmermeyer

arxiv:1108.6215 v1 · 2011-08-31 · 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{TAAFY5PJJZ47QBWMZZ5SANAEYC}

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	2026-05-18T04:14:26.806280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98005c75e94e79f806ccce7b203404c08e9cae53c011bd6b01ae7569d6df8076

Aliases

arxiv: 1108.6215 · arxiv_version: 1108.6215v1 · doi: 10.48550/arxiv.1108.6215 · pith_short_12: TAAFY5PJJZ47 · pith_short_16: TAAFY5PJJZ47QBWM · pith_short_8: TAAFY5PJ

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/TAAFY5PJJZ47QBWMZZ5SANAEYC \
  | 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: 98005c75e94e79f806ccce7b203404c08e9cae53c011bd6b01ae7569d6df8076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d28f782732420380ffae69564f68ee6e17be8df39d163c7682e1cfbb7409ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-31T12:59:07Z",
    "title_canon_sha256": "fd291cb2ce4aa6909a4f89371f040219f72b5b5674e3f223419d5b4ef7f98959"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6215",
    "kind": "arxiv",
    "version": 1
  }
}