Pith Number

pith:L4EUGJXQ

pith:2006:L4EUGJXQZEZMW47RB32LK7X4YM

not attested not anchored not stored refs pending

Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori

Snigdhayan Mahanta

arxiv:math/0610043 v5 · 2006-10-01 · math.QA · 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{L4EUGJXQZEZMW47RB32LK7X4YM}

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	2026-05-18T00:47:21.498379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f094326f0c932cb73f10ef4b57efcc30ffb14a68dd21d722b2a8ffc3e41989b

Aliases

arxiv: math/0610043 · arxiv_version: math/0610043v5 · doi: 10.48550/arxiv.math/0610043 · pith_short_12: L4EUGJXQZEZM · pith_short_16: L4EUGJXQZEZMW47R · pith_short_8: L4EUGJXQ

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/L4EUGJXQZEZMW47RB32LK7X4YM \
  | 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: 5f094326f0c932cb73f10ef4b57efcc30ffb14a68dd21d722b2a8ffc3e41989b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "750077f819035989d13316d1bbba712923f7ae77f02347bd4cb796ea1ff1fddc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2006-10-01T11:44:01Z",
    "title_canon_sha256": "81d933a536f1f98727c9508bd2deabbfad0b2ad4e97fb6fc244a0d5c15a79d02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610043",
    "kind": "arxiv",
    "version": 5
  }
}