Pith Number

pith:RUG25YJM

pith:2012:RUG25YJMEG3X4644Y3FPUWHX2J

not attested not anchored not stored refs pending

Invariant integration on orthosymplectic and unitary supergroups

Kevin Coulembier, Ruibin Zhang

arxiv:1201.4154 v1 · 2012-01-19 · math-ph · math.GR · 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{RUG25YJMEG3X4644Y3FPUWHX2J}

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	2026-05-18T01:58:46.592743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d0daee12c21b77e7b9cc6cafa58f7d2462a1b051e90f7ca6b5641d5dba4522f

Aliases

arxiv: 1201.4154 · arxiv_version: 1201.4154v1 · doi: 10.48550/arxiv.1201.4154 · pith_short_12: RUG25YJMEG3X · pith_short_16: RUG25YJMEG3X4644 · pith_short_8: RUG25YJM

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/RUG25YJMEG3X4644Y3FPUWHX2J \
  | 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: 8d0daee12c21b77e7b9cc6cafa58f7d2462a1b051e90f7ca6b5641d5dba4522f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2c57b7e75a40c3ebbc8435bc857cd82834d68d4b9ae754bd70e5ca7675a337",
    "cross_cats_sorted": [
      "math.GR",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-19T19:29:40Z",
    "title_canon_sha256": "63dbec7d57a0f9602134f9794b965357395a43f0421d116841a62d5d251b3fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4154",
    "kind": "arxiv",
    "version": 1
  }
}