Pith Number

pith:I6C4A3FM

pith:2010:I6C4A3FMXGRXXEBBC2NY42KRQS

not attested not anchored not stored refs pending

Line bundles and the Thom construction in noncommutative geometry

E.J. Beggs, T. Brzezinski

arxiv:1012.1475 v2 · 2010-12-07 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6C4A3FMXGRXXEBBC2NY42KRQS}

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	2026-05-18T04:31:21.000850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4785c06cacb9a37b9021169b8e695184a785ad13867514d10a62d002b6999eef

Aliases

arxiv: 1012.1475 · arxiv_version: 1012.1475v2 · doi: 10.48550/arxiv.1012.1475 · pith_short_12: I6C4A3FMXGRX · pith_short_16: I6C4A3FMXGRXXEBB · pith_short_8: I6C4A3FM

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/I6C4A3FMXGRXXEBBC2NY42KRQS \
  | 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: 4785c06cacb9a37b9021169b8e695184a785ad13867514d10a62d002b6999eef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbb457cc50152fb10ae918ad082e12f2142fe3996dd28f6b9663239456d882a1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-07T11:32:20Z",
    "title_canon_sha256": "f8aacc405b78fc1686247d5d6d6f60df9de1e4cec0b98027d084416658e6b469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1475",
    "kind": "arxiv",
    "version": 2
  }
}