Pith Number

pith:ZFVKQZDW

pith:2011:ZFVKQZDWUYWY2MJON4VVUQRCCL

not attested not anchored not stored refs pending

Points on Hyperbolas at Rational Distance

Edray Herber Goins, Kevin Mugo

arxiv:1108.0690 v1 · 2011-08-02 · 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{ZFVKQZDWUYWY2MJON4VVUQRCCL}

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	2026-05-18T04:16:22.147693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96aa86476a62d8d312e6f2b5a422212c5133c02a636e7aa5429589c20d7b1fa

Aliases

arxiv: 1108.0690 · arxiv_version: 1108.0690v1 · doi: 10.48550/arxiv.1108.0690 · pith_short_12: ZFVKQZDWUYWY · pith_short_16: ZFVKQZDWUYWY2MJO · pith_short_8: ZFVKQZDW

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/ZFVKQZDWUYWY2MJON4VVUQRCCL \
  | 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: c96aa86476a62d8d312e6f2b5a422212c5133c02a636e7aa5429589c20d7b1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5460e1fc2571a6baaa79a7e8b077c2b09ba2937a7a5acdee8357418b93a9c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-02T20:52:22Z",
    "title_canon_sha256": "6266c07394068a37d9ab7c4dc697068ab86d8eb4fceb5e9f70a505c9eb178260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0690",
    "kind": "arxiv",
    "version": 1
  }
}