Pith Number

pith:VUJ6C7YJ

pith:2019:VUJ6C7YJCFOOKJHI7HKP6HPKMY

not attested not anchored not stored refs pending

Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2--gauge transformations

Roberto Zucchini

arxiv:1907.00155 v1 · 2019-06-29 · math-ph · hep-th · 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{VUJ6C7YJCFOOKJHI7HKP6HPKMY}

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	2026-05-17T23:41:57.303594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad13e17f09115ce524e8f9d4ff1dea6616c6a8bec111c712909935df2c0a28ef

Aliases

arxiv: 1907.00155 · arxiv_version: 1907.00155v1 · doi: 10.48550/arxiv.1907.00155 · pith_short_12: VUJ6C7YJCFOO · pith_short_16: VUJ6C7YJCFOOKJHI · pith_short_8: VUJ6C7YJ

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/VUJ6C7YJCFOOKJHI7HKP6HPKMY \
  | 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: ad13e17f09115ce524e8f9d4ff1dea6616c6a8bec111c712909935df2c0a28ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d443c899cb82ca834fe44c9f97bab9cd108d532595778c6818bbdbdcfc76bfd0",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-29T06:47:10Z",
    "title_canon_sha256": "a7357905cf4c2faeeef74713a54cea23bef3a4bfc455eefb041e095d63163b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00155",
    "kind": "arxiv",
    "version": 1
  }
}