Pith Number

pith:DZ44JXXB

pith:2010:DZ44JXXBGRRPSTOFV7AB27ZAWV

not attested not anchored not stored refs pending

Viviani Polytopes and Fermat Points

Li Zhou

arxiv:1008.1236 v2 · 2010-08-06 · math.MG · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZ44JXXBGRRPSTOFV7AB27ZAWV}

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	2026-05-18T04:34:36.910381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e79c4dee13462f94dc5afc01d7f20b55122f5ac470862f147eaf6e77b7362aa

Aliases

arxiv: 1008.1236 · arxiv_version: 1008.1236v2 · doi: 10.48550/arxiv.1008.1236 · pith_short_12: DZ44JXXBGRRP · pith_short_16: DZ44JXXBGRRPSTOF · pith_short_8: DZ44JXXB

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/DZ44JXXBGRRPSTOFV7AB27ZAWV \
  | 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: 1e79c4dee13462f94dc5afc01d7f20b55122f5ac470862f147eaf6e77b7362aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65382afa176cfad61ff3106e09f9366741009971f5d607c07a316442f68232b",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-08-06T16:57:41Z",
    "title_canon_sha256": "91d24a25a5828b38815e7f900a22e008579ad453937fffcd03373348c290f1f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1236",
    "kind": "arxiv",
    "version": 2
  }
}