Pith Number

pith:YCRGHEMJ

pith:2007:YCRGHEMJZGU5UEHCV6SSVTVIXC

not attested not anchored not stored refs pending

The path group construction of Lie group extensions

Cornelia Vizman

arxiv:math/0703342 v2 · 2007-03-12 · math.DG · 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{YCRGHEMJZGU5UEHCV6SSVTVIXC}

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	2026-05-18T04:08:12.831489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a2639189c9a9da10e2afa52acea8b8a8531d046458cc09f28e52d6522a53de

Aliases

arxiv: math/0703342 · arxiv_version: math/0703342v2 · doi: 10.48550/arxiv.math/0703342 · pith_short_12: YCRGHEMJZGU5 · pith_short_16: YCRGHEMJZGU5UEHC · pith_short_8: YCRGHEMJ

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/YCRGHEMJZGU5UEHCV6SSVTVIXC \
  | 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: c0a2639189c9a9da10e2afa52acea8b8a8531d046458cc09f28e52d6522a53de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64db92858c4014414db7882b2743ba7ebd52f5b5b9ee6f25a583fae3538a5f69",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-03-12T14:16:34Z",
    "title_canon_sha256": "7fd0e8fe85a47f7c2dc73b1ff94c5e664aa82b7be1a8886d4c59748c3b96d290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703342",
    "kind": "arxiv",
    "version": 2
  }
}