Pith Number

pith:GYKS5Q4N

pith:2012:GYKS5Q4N2IKPTCIWJRK7LLPDP3

not attested not anchored not stored refs pending

The Non-Euclidean Euclidean Algorithm

Jane Gilman

arxiv:1207.1062 v4 · 2012-07-04 · math.GR · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYKS5Q4N2IKPTCIWJRK7LLPDP3}

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	2026-05-18T03:12:20.146323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36152ec38dd214f989164c55f5ade37ede8ec6fc6463e4cc86e2dd9eaf2a99c1

Aliases

arxiv: 1207.1062 · arxiv_version: 1207.1062v4 · doi: 10.48550/arxiv.1207.1062 · pith_short_12: GYKS5Q4N2IKP · pith_short_16: GYKS5Q4N2IKPTCIW · pith_short_8: GYKS5Q4N

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/GYKS5Q4N2IKPTCIWJRK7LLPDP3 \
  | 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: 36152ec38dd214f989164c55f5ade37ede8ec6fc6463e4cc86e2dd9eaf2a99c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a25e75b3bddc81959ff4abcbbdb3090098421059274849e5327bc1b824e96cda",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-04T17:17:44Z",
    "title_canon_sha256": "f3a98c74e42002f88767bd3757f931b14167bce4ea47b5fa5d4b58e37c98ab68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1062",
    "kind": "arxiv",
    "version": 4
  }
}