Pith Number

pith:Z7ZTSSK6

pith:2012:Z7ZTSSK66VB76Q5JQORVHQQJGG

not attested not anchored not stored refs pending

Groupoid Quantization of Loop Spaces

Christian Saemann, Richard J. Szabo

arxiv:1203.5921 v1 · 2012-03-27 · 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{Z7ZTSSK66VB76Q5JQORVHQQJGG}

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	2026-05-18T03:59:13.055757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff339495ef543ff43a983a353c2093192b1217e6abdb71e0b105a1750c64105

Aliases

arxiv: 1203.5921 · arxiv_version: 1203.5921v1 · doi: 10.48550/arxiv.1203.5921 · pith_short_12: Z7ZTSSK66VB7 · pith_short_16: Z7ZTSSK66VB76Q5J · pith_short_8: Z7ZTSSK6

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/Z7ZTSSK66VB76Q5JQORVHQQJGG \
  | 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: cff339495ef543ff43a983a353c2093192b1217e6abdb71e0b105a1750c64105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3081469db552e6101bb04269ff2604853f251996ecd55a3ea62a961f88977be",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-03-27T10:36:16Z",
    "title_canon_sha256": "46182e4fa7dc69cc084c29d8aa319d9740eb219dee77c6a8f8c6837ce872acfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5921",
    "kind": "arxiv",
    "version": 1
  }
}