Pith Number

pith:VDZWRJ4S

pith:2011:VDZWRJ4S5NAFVWGB5H6TUUYMLI

not attested not anchored not stored refs pending

A new kind of geometric phases in open quantum systems and higher gauge theory

David Viennot, Jose Lages

arxiv:1101.2852 v2 · 2011-01-14 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDZWRJ4S5NAFVWGB5H6TUUYMLI}

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	2026-05-18T04:14:29.274769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f368a792eb405ad8c1e9fd3a530c5a22da057404a9201e098a3e9ff3c3643d

Aliases

arxiv: 1101.2852 · arxiv_version: 1101.2852v2 · doi: 10.48550/arxiv.1101.2852 · pith_short_12: VDZWRJ4S5NAF · pith_short_16: VDZWRJ4S5NAFVWGB · pith_short_8: VDZWRJ4S

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/VDZWRJ4S5NAFVWGB5H6TUUYMLI \
  | 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: a8f368a792eb405ad8c1e9fd3a530c5a22da057404a9201e098a3e9ff3c3643d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2720981f6a3e7ac5683d003542da0131c31206b1132ba08474fff3f31674eff9",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-14T16:15:15Z",
    "title_canon_sha256": "a06699606b4b3f598d3f554a39403f8f05e8e6095a7c4d9ee990f56baaaf8292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2852",
    "kind": "arxiv",
    "version": 2
  }
}