Pith Number

pith:YYXJS3JH

pith:2019:YYXJS3JHEN3ARAPJQDKNFTZEZA

not attested not anchored not stored refs pending

Wetzel's sector covers unit arcs

Chatchawan Panraksa, Wacharin Wichiramala

arxiv:1907.07351 v1 · 2019-07-17 · 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{YYXJS3JHEN3ARAPJQDKNFTZEZA}

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	2026-05-17T23:40:22.557065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62e996d2723760881e980d4d2cf24c813de29ff1aac289b7e2d87d193cbc60f

Aliases

arxiv: 1907.07351 · arxiv_version: 1907.07351v1 · doi: 10.48550/arxiv.1907.07351 · pith_short_12: YYXJS3JHEN3A · pith_short_16: YYXJS3JHEN3ARAPJ · pith_short_8: YYXJS3JH

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/YYXJS3JHEN3ARAPJQDKNFTZEZA \
  | 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: c62e996d2723760881e980d4d2cf24c813de29ff1aac289b7e2d87d193cbc60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781d249e4e19cbbec9ba56ed1c35daad2999ff09cd00193de41176b682a83fd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-07-17T06:14:18Z",
    "title_canon_sha256": "2a37fea46adbb35c4af29ef714b42adbcb016c5caa7b038fc8f4314c975f8dd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07351",
    "kind": "arxiv",
    "version": 1
  }
}