Pith Number

pith:G66JETNH

pith:2008:G66JETNHW7OY5PPPQI4MXCKGIR

not attested not anchored not stored refs pending

Gonality, apolarity and hypercubics

Francesco Zucconi, Pietro De Poi

arxiv:0802.0705 v4 · 2008-02-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G66JETNHW7OY5PPPQI4MXCKGIR}

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	2026-05-18T02:58:11.833190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37bc924da7b7dd8ebdef8238cb8946444532b5dd8f342445fe96408aff6fdcc9

Aliases

arxiv: 0802.0705 · arxiv_version: 0802.0705v4 · doi: 10.48550/arxiv.0802.0705 · pith_short_12: G66JETNHW7OY · pith_short_16: G66JETNHW7OY5PPP · pith_short_8: G66JETNH

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/G66JETNHW7OY5PPPQI4MXCKGIR \
  | 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: 37bc924da7b7dd8ebdef8238cb8946444532b5dd8f342445fe96408aff6fdcc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b34e164313b55b968b56fb0ca9251b596edea2d18bf2daeac58ea6f18a91f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-05T21:00:46Z",
    "title_canon_sha256": "a67c94f1c26a38aaf9a5d82f5dc967558a448ad6966c0a3bea6a78fe228a783f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0705",
    "kind": "arxiv",
    "version": 4
  }
}