Pith Number

pith:744HIUVY

pith:2010:744HIUVYAV7OP2NDFHOAQ6TBCP

not attested not anchored not stored refs pending

Bounds for solid angles of lattices of rank three

Lenny Fukshansky, Sinai Robins

arxiv:1006.0743 v1 · 2010-06-03 · math.MG · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{744HIUVYAV7OP2NDFHOAQ6TBCP}

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	2026-05-18T04:34:46.012862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff387452b8057ee7e9a329dc087a6113f9bb3e3549a1de3a56f733889c9e9118

Aliases

arxiv: 1006.0743 · arxiv_version: 1006.0743v1 · doi: 10.48550/arxiv.1006.0743 · pith_short_12: 744HIUVYAV7O · pith_short_16: 744HIUVYAV7OP2ND · pith_short_8: 744HIUVY

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/744HIUVYAV7OP2NDFHOAQ6TBCP \
  | 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: ff387452b8057ee7e9a329dc087a6113f9bb3e3549a1de3a56f733889c9e9118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e49307313d59b65cebf1338dec1116e643e8942d4669f4898066c18836ad3c",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-06-03T21:11:33Z",
    "title_canon_sha256": "802d0763e233d5e79955391df5cddbc2a35e6aa27b3dd1090de64a991950f13c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0743",
    "kind": "arxiv",
    "version": 1
  }
}