Pith Number

pith:VDTELH2Z

pith:2010:VDTELH2Z3S7DD37QPGUJAX7JCQ

not attested not anchored not stored refs pending

Miquel circles and Cevian lines

Christopher Bradley

arxiv:1008.1186 v1 · 2010-08-06 · 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{VDTELH2Z3S7DD37QPGUJAX7JCQ}

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	2026-05-18T04:42:34.007930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e6459f59dcbe31eff079a8905fe91422bf848e94ab66b96ac290fbca28197c

Aliases

arxiv: 1008.1186 · arxiv_version: 1008.1186v1 · doi: 10.48550/arxiv.1008.1186 · pith_short_12: VDTELH2Z3S7D · pith_short_16: VDTELH2Z3S7DD37Q · pith_short_8: VDTELH2Z

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/VDTELH2Z3S7DD37QPGUJAX7JCQ \
  | 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: a8e6459f59dcbe31eff079a8905fe91422bf848e94ab66b96ac290fbca28197c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41826b00fc52ff5fd7673ecb50437ce89258911a0bba9e2aefd9f2ca1f50d16b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-08-06T13:25:55Z",
    "title_canon_sha256": "8020d0f7f2271bcf7f7480c27ba2df745b019f635dad7ac50197d5fa821d30fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1186",
    "kind": "arxiv",
    "version": 1
  }
}