Pith Number

pith:RZ32FXOS

pith:1995:RZ32FXOSH4KHN5UZPT6NKWP2OI

not attested not anchored not stored refs pending

Symmetry via Spherical Reflection and Spanning Drops in a Wedge

John McCuan

arxiv:math/9509220 v1 · 1995-09-12 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZ32FXOSH4KHN5UZPT6NKWP2OI}

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	2026-05-18T01:05:48.297388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004

Aliases

arxiv: math/9509220 · arxiv_version: math/9509220v1 · doi: 10.48550/arxiv.math/9509220 · pith_short_12: RZ32FXOSH4KH · pith_short_16: RZ32FXOSH4KHN5UZ · pith_short_8: RZ32FXOS

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/RZ32FXOSH4KHN5UZPT6NKWP2OI \
  | 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: 8e77a2ddd23f1476f6997cfcd559fa7213dc04ca84560c9e33d7e98f163b5004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c931b4ac742e998b2dcd19787c332bd46513ba55d197b0a770246b55c541237",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1995-09-12T00:00:00Z",
    "title_canon_sha256": "b9148aa1a5988daa303c9777f320fce68977a5daf4877e8bcd7adcb1faf0dd74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9509220",
    "kind": "arxiv",
    "version": 1
  }
}