Pith Number

pith:YFCBOZR4

pith:2010:YFCBOZR4VUSOWDD47XVSTE35FY

not attested not anchored not stored refs pending

Eight circles through the Orthocentre

Christopher Bradley

arxiv:1008.2167 v1 · 2010-08-12 · 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{YFCBOZR4VUSOWDD47XVSTE35FY}

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	2026-05-18T04:42:14.880276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14417663cad24eb0c7cfdeb29937d2e086efbb71c2ee3b27f0832981af63b14

Aliases

arxiv: 1008.2167 · arxiv_version: 1008.2167v1 · doi: 10.48550/arxiv.1008.2167 · pith_short_12: YFCBOZR4VUSO · pith_short_16: YFCBOZR4VUSOWDD4 · pith_short_8: YFCBOZR4

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/YFCBOZR4VUSOWDD47XVSTE35FY \
  | 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: c14417663cad24eb0c7cfdeb29937d2e086efbb71c2ee3b27f0832981af63b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69237899347c2b62ca1a0abe94f6dba819cd92d522431cb3ba2a81628436a7aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-08-12T17:27:44Z",
    "title_canon_sha256": "be351a3f53f22188658bc0b49a180fca687e7dac69a55bf1e4d003a85eb4edd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2167",
    "kind": "arxiv",
    "version": 1
  }
}