Pith Number

pith:7IBLZBI6

pith:2010:7IBLZBI6MIHHEQYU44XBHVDSW4

not attested not anchored not stored refs pending

Rational Distances with Rational Angles

Frank de Zeeuw, J\'ozsef Solymosi, Ryan Schwartz

arxiv:1008.3671 v2 · 2010-08-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IBLZBI6MIHHEQYU44XBHVDSW4}

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	2026-05-18T02:53:54.497302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa02bc851e620e724314e72e13d472b729cd3af2591bfb2bb71ba650a58f394e

Aliases

arxiv: 1008.3671 · arxiv_version: 1008.3671v2 · doi: 10.48550/arxiv.1008.3671 · pith_short_12: 7IBLZBI6MIHH · pith_short_16: 7IBLZBI6MIHHEQYU · pith_short_8: 7IBLZBI6

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/7IBLZBI6MIHHEQYU44XBHVDSW4 \
  | 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: fa02bc851e620e724314e72e13d472b729cd3af2591bfb2bb71ba650a58f394e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eadd0da4aa8d12c757034ce364f39f26889c0ad63a35cbb6bc50b90a25566e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-22T00:37:44Z",
    "title_canon_sha256": "6f5e9cef1da371f52231cd87870229542db676c6972e9c4e79ef63736412a5d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3671",
    "kind": "arxiv",
    "version": 2
  }
}