Pith Number

pith:3SMET6XR

pith:2013:3SMET6XRINC4QOAQGQZEW4MSDF

not attested not anchored not stored refs pending

Robust Toric Ideals

Adam Boocher, Elina Robeva

arxiv:1304.0603 v2 · 2013-04-02 · math.AC · 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{3SMET6XRINC4QOAQGQZEW4MSDF}

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	2026-05-18T03:20:35.031511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9849faf14345c8381034324b719219423d03cfe3b9a1cff059e822de4c7150

Aliases

arxiv: 1304.0603 · arxiv_version: 1304.0603v2 · doi: 10.48550/arxiv.1304.0603 · pith_short_12: 3SMET6XRINC4 · pith_short_16: 3SMET6XRINC4QOAQ · pith_short_8: 3SMET6XR

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/3SMET6XRINC4QOAQGQZEW4MSDF \
  | 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: dc9849faf14345c8381034324b719219423d03cfe3b9a1cff059e822de4c7150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7491fc7a5f5f2f8b88dfe421d35bfa167c37d0c2ffd33050e8e09c71c1b4faa",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-02T12:05:37Z",
    "title_canon_sha256": "0e751b21c298094e21c97872fdfbe5c20a52c40ddcaa8e026bcdc5ad6f69e96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0603",
    "kind": "arxiv",
    "version": 2
  }
}