Pith Number

pith:T7C2OE7S

pith:2008:T7C2OE7SY5HNPVRV4PGC7YFXXV

not attested not anchored not stored refs pending

The geometry of determinant line bundles in noncommutative geometry

Partha Sarathi Chakraborty, Varghese Mathai

arxiv:0804.3232 v3 · 2008-04-21 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7C2OE7SY5HNPVRV4PGC7YFXXV}

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	2026-05-18T04:24:45.589107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc5a713f2c74ed7d635e3cc2fe0b7bd77d99f3c8c8ad90d7ff44604626e7d36

Aliases

arxiv: 0804.3232 · arxiv_version: 0804.3232v3 · doi: 10.48550/arxiv.0804.3232 · pith_short_12: T7C2OE7SY5HN · pith_short_16: T7C2OE7SY5HNPVRV · pith_short_8: T7C2OE7S

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/T7C2OE7SY5HNPVRV4PGC7YFXXV \
  | 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: 9fc5a713f2c74ed7d635e3cc2fe0b7bd77d99f3c8c8ad90d7ff44604626e7d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50166081f987eaf2b6c0787d4add69e3caf5b0a4dbd3a5120300827f9e43a798",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-04-21T03:57:22Z",
    "title_canon_sha256": "5b038de178c99c7e1619b24e9bf74b718d29f3d7fc682cad4d39a758b993c99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3232",
    "kind": "arxiv",
    "version": 3
  }
}