Pith Number

pith:3ZNDSOHR

pith:2009:3ZNDSOHRBIR4PTCMTLMWVIGPGD

not attested not anchored not stored refs pending

Lines, Circles, Planes and Spheres

George B. Purdy, Justin W. Smith

arxiv:0907.0724 v1 · 2009-07-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZNDSOHRBIR4PTCMTLMWVIGPGD}

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	2026-05-18T04:39:39.167533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5a3938f10a23c7cc4c9ad96aa0cf30cd32afb1e3c84ced93f42fceddd88765

Aliases

arxiv: 0907.0724 · arxiv_version: 0907.0724v1 · doi: 10.48550/arxiv.0907.0724 · pith_short_12: 3ZNDSOHRBIR4 · pith_short_16: 3ZNDSOHRBIR4PTCM · pith_short_8: 3ZNDSOHR

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/3ZNDSOHRBIR4PTCMTLMWVIGPGD \
  | 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: de5a3938f10a23c7cc4c9ad96aa0cf30cd32afb1e3c84ced93f42fceddd88765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fdf04212992a601c5a0d06017327bce1f5daea86355ab2986f391b97c271473",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-03T22:11:16Z",
    "title_canon_sha256": "88380ca7ec8b28858adb506b73326b81b4cfea8ffa0ae147a29b27aaf5f4ce8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0724",
    "kind": "arxiv",
    "version": 1
  }
}