Pith Number

pith:H7GWAZNI

pith:2011:H7GWAZNI4HGWB3RMD6A3ZKFJV2

not attested not anchored not stored refs pending

Generalizing the Converse to Pascal's Theorem via Hyperplane Arrangements and the Cayley-Bacharach Theorem

Will Traves

arxiv:1108.3368 v1 · 2011-08-16 · math.AG · math.AC · 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{H7GWAZNI4HGWB3RMD6A3ZKFJV2}

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	2026-05-18T04:15:18.146393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcd6065a8e1cd60ee2c1f81bca8a9ae8c1f282e312f6387650d9c97eb0075fe

Aliases

arxiv: 1108.3368 · arxiv_version: 1108.3368v1 · doi: 10.48550/arxiv.1108.3368 · pith_short_12: H7GWAZNI4HGW · pith_short_16: H7GWAZNI4HGWB3RM · pith_short_8: H7GWAZNI

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/H7GWAZNI4HGWB3RMD6A3ZKFJV2 \
  | 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: 3fcd6065a8e1cd60ee2c1f81bca8a9ae8c1f282e312f6387650d9c97eb0075fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4810925d8ea09564d11b13b909b9ef0ee216c40e0714e59ef691e09898418c8d",
    "cross_cats_sorted": [
      "math.AC",
      "math.HO"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-16T22:24:30Z",
    "title_canon_sha256": "5ddfc3998174fa4849e3155f01510788c6ad53b480a83a19fac4cdd91f3eee0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3368",
    "kind": "arxiv",
    "version": 1
  }
}