Pith Number

pith:VBXD65O3

pith:2014:VBXD65O327TUFZUFDEWOVAKNS2

not attested not anchored not stored refs pending

Rational Angled Hyperbolic Polygons

Jack S. Calcut

arxiv:1412.3825 v1 · 2014-12-11 · math.MG · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBXD65O327TUFZUFDEWOVAKNS2}

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	2026-05-18T02:31:29.546751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86e3f75dbd7e742e685192cea814d96b52a8a1cf34fefb8fd26f0c507592043

Aliases

arxiv: 1412.3825 · arxiv_version: 1412.3825v1 · doi: 10.48550/arxiv.1412.3825 · pith_short_12: VBXD65O327TU · pith_short_16: VBXD65O327TUFZUF · pith_short_8: VBXD65O3

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/VBXD65O327TUFZUFDEWOVAKNS2 \
  | 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: a86e3f75dbd7e742e685192cea814d96b52a8a1cf34fefb8fd26f0c507592043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937b776e8b4cd7d4ab1d76560b2f065b138640b86673ed9edb9670474f5ff99e",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-12-11T21:13:50Z",
    "title_canon_sha256": "ef80c472fecc02bd3f4016d37540fd9e82c60dd109bfda4ca19c0e5e5ac7d5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3825",
    "kind": "arxiv",
    "version": 1
  }
}