Pith Number

pith:O7FDDKKM

pith:2008:O7FDDKKML4LJATGUJRZPTAVOQA

not attested not anchored not stored refs pending

Self-dual projective toric varieties

Alicia Dickenstein, Alvaro Rittatore, Mathias Bourel

arxiv:0805.3259 v3 · 2008-05-21 · math.AG · 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{O7FDDKKML4LJATGUJRZPTAVOQA}

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	2026-05-18T02:58:11.514618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ca31a94c5f16904cd44c72f982ae80253d7c7889661b653e2edffa4d08b49f

Aliases

arxiv: 0805.3259 · arxiv_version: 0805.3259v3 · doi: 10.48550/arxiv.0805.3259 · pith_short_12: O7FDDKKML4LJ · pith_short_16: O7FDDKKML4LJATGU · pith_short_8: O7FDDKKM

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/O7FDDKKML4LJATGUJRZPTAVOQA \
  | 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: 77ca31a94c5f16904cd44c72f982ae80253d7c7889661b653e2edffa4d08b49f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a514bf3bf6eb7518ee685a816b9f0ef0b5ffdfa71a0e756fd26eeaa716370d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-21T11:47:01Z",
    "title_canon_sha256": "f5f08460d81fe9b39f35f70c9b90a1882bea21e9e6bc113b80fa4fb00caa7882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3259",
    "kind": "arxiv",
    "version": 3
  }
}