Pith Number

pith:PIWB3BBI

pith:2011:PIWB3BBIU5NVOBSQET4GEYWMST

not attested not anchored not stored refs pending

Mixed Discriminants

Alicia Dickenstein, Bernd Sturmfels, Eduardo Cattani, Maria Angelica Cueto, Sandra Di Rocco

arxiv:1112.1012 v1 · 2011-12-05 · math.AG · cs.SC · 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{PIWB3BBIU5NVOBSQET4GEYWMST}

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	2026-05-18T04:06:57.234198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a2c1d8428a75b57065024f86262cc94e422e12fde2a197e869caa91e46b8649

Aliases

arxiv: 1112.1012 · arxiv_version: 1112.1012v1 · doi: 10.48550/arxiv.1112.1012 · pith_short_12: PIWB3BBIU5NV · pith_short_16: PIWB3BBIU5NVOBSQ · pith_short_8: PIWB3BBI

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/PIWB3BBIU5NVOBSQET4GEYWMST \
  | 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: 7a2c1d8428a75b57065024f86262cc94e422e12fde2a197e869caa91e46b8649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d86ba2fdc5fa30040e8ecc60b74a9a8765edf86168d4c80c8df5f6a3a520cf",
    "cross_cats_sorted": [
      "cs.SC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-05T17:39:08Z",
    "title_canon_sha256": "45fabde5b1ab747168521873719d3acf6423d28ce84b516cb5346937c36de531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1012",
    "kind": "arxiv",
    "version": 1
  }
}