Pith Number

pith:MWUQXSWY

pith:2013:MWUQXSWYGDI77ATVVNQYQ4F4D6

not attested not anchored not stored refs pending

Non-commutative Toric Varieties

Alberto Verjovsky, Ernesto Lupercio, Laurent Meersseman, Ludmil Katzarkov

arxiv:1308.2774 v2 · 2013-08-13 · math.SG · hep-th · 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{MWUQXSWYGDI77ATVVNQYQ4F4D6}

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	2026-05-18T03:07:42.201679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a90bcad830d1ff8275ab618870bc1fa5188dfeb24541337466c27800d03799

Aliases

arxiv: 1308.2774 · arxiv_version: 1308.2774v2 · doi: 10.48550/arxiv.1308.2774 · pith_short_12: MWUQXSWYGDI7 · pith_short_16: MWUQXSWYGDI77ATV · pith_short_8: MWUQXSWY

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/MWUQXSWYGDI77ATVVNQYQ4F4D6 \
  | 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: 65a90bcad830d1ff8275ab618870bc1fa5188dfeb24541337466c27800d03799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029caf026694f0f02034cd5c66e25b319d201b5df073182f98486171680504cc",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-08-13T07:19:59Z",
    "title_canon_sha256": "6d2684e7c845b01f5351ddd4e18686570774966ed0dd57aade6e6173b8a8a766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2774",
    "kind": "arxiv",
    "version": 2
  }
}