Pith Number

pith:GL7Y74LZ

pith:2018:GL7Y74LZA7O4WPD3TDHJOVMRL2

not attested not anchored not stored refs pending

Rectangle Coincidences and Sweepouts

Richard Evan Schwartz

arxiv:1809.03070 v3 · 2018-09-10 · 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{GL7Y74LZA7O4WPD3TDHJOVMRL2}

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	2026-05-17T23:59:49.899409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ff8ff17907ddcb3c7b98ce9755915ea30dd5bcd135d665a63c67a14205d41f

Aliases

arxiv: 1809.03070 · arxiv_version: 1809.03070v3 · doi: 10.48550/arxiv.1809.03070 · pith_short_12: GL7Y74LZA7O4 · pith_short_16: GL7Y74LZA7O4WPD3 · pith_short_8: GL7Y74LZ

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/GL7Y74LZA7O4WPD3TDHJOVMRL2 \
  | 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: 32ff8ff17907ddcb3c7b98ce9755915ea30dd5bcd135d665a63c67a14205d41f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "907cdbae0b7b1a13f9c8c3d033b1a081ecce7bd519b6eebd34e3544d71979d01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-09-10T00:50:18Z",
    "title_canon_sha256": "50ccdeee82ca2f57439c40fc9b1df6efab72ea7bad9682b2bb71d448dd1a7219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03070",
    "kind": "arxiv",
    "version": 3
  }
}