Pith Number

pith:PPT7U26K

pith:2008:PPT7U26KA2XNHFN5L24K55LUEF

not attested not anchored not stored refs pending

Smooth Loops and Fiber Bundles: Theory of Principal Q-bundles

Alexander I Nesterov

arxiv:0806.1339 v1 · 2008-06-08 · math.DG · gr-qc · 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{PPT7U26KA2XNHFN5L24K55LUEF}

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	2026-05-18T03:36:37.460657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be7fa6bca06aed395bd5eb8aef5742169677e9a1d96ca50a9f74916db4fd40c

Aliases

arxiv: 0806.1339 · arxiv_version: 0806.1339v1 · doi: 10.48550/arxiv.0806.1339 · pith_short_12: PPT7U26KA2XN · pith_short_16: PPT7U26KA2XNHFN5 · pith_short_8: PPT7U26K

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/PPT7U26KA2XNHFN5L24K55LUEF \
  | 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: 7be7fa6bca06aed395bd5eb8aef5742169677e9a1d96ca50a9f74916db4fd40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "703d7c095dcfdbe4fad998862a631424a96f594ceafed6a4e298878a46450d94",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-06-08T16:56:13Z",
    "title_canon_sha256": "33cccf8e3d484d81acb67e1d9fd454e6d4d9bb3aa5ba064f6d942e730c2daaa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1339",
    "kind": "arxiv",
    "version": 1
  }
}