Pith Number

pith:AYFR6E4Y

pith:2010:AYFR6E4YZ5IIVIRFSZX6NCSBBO

not attested not anchored not stored refs pending

Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields

Pavel Stovicek, Petra Kostakova

arxiv:1011.6536 v1 · 2010-11-30 · math-ph · math.DG · 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{AYFR6E4YZ5IIVIRFSZX6NCSBBO}

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	2026-05-18T04:30:47.260035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

060b1f1398cf508aa225966fe68a410bafc8b4bfde0d86cd3e61e5a0f56860e1

Aliases

arxiv: 1011.6536 · arxiv_version: 1011.6536v1 · doi: 10.48550/arxiv.1011.6536 · pith_short_12: AYFR6E4YZ5II · pith_short_16: AYFR6E4YZ5IIVIRF · pith_short_8: AYFR6E4Y

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/AYFR6E4YZ5IIVIRFSZX6NCSBBO \
  | 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: 060b1f1398cf508aa225966fe68a410bafc8b4bfde0d86cd3e61e5a0f56860e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0256c7867c3d1a913f4c144e9c6bbcbe3b27ad7317e8f7d2f2bd8e62eb62aaba",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-30T13:08:03Z",
    "title_canon_sha256": "7183b4bcc80bc558733d0fe7bfd45ff6f3bd8679e4210e2471909ff633adb012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6536",
    "kind": "arxiv",
    "version": 1
  }
}