Pith Number

pith:7VM4ZPOL

pith:2007:7VM4ZPOLPPHGQZMA2TOCG5F42E

not attested not anchored not stored refs pending

Quantisation commutes with reduction at discrete series representations of semisimple groups

Peter Hochs

arxiv:0705.2956 v2 · 2007-05-21 · math.SG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VM4ZPOLPPHGQZMA2TOCG5F42E}

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	2026-05-18T03:52:39.045356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd59ccbdcb7bce686580d4dc2374bcd13d52b6df0353c2852117c62aba53185f

Aliases

arxiv: 0705.2956 · arxiv_version: 0705.2956v2 · doi: 10.48550/arxiv.0705.2956 · pith_short_12: 7VM4ZPOLPPHG · pith_short_16: 7VM4ZPOLPPHGQZMA · pith_short_8: 7VM4ZPOL

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/7VM4ZPOLPPHGQZMA2TOCG5F42E \
  | 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: fd59ccbdcb7bce686580d4dc2374bcd13d52b6df0353c2852117c62aba53185f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53df0306d9221fbdc6b492fd5e59dc2d9df8989df8a520b8438aa2c931a38861",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2007-05-21T12:11:36Z",
    "title_canon_sha256": "9d8318b4f1d68650c1d833115a80d631ff0b5f4984eca79eff3df62d18d3c483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2956",
    "kind": "arxiv",
    "version": 2
  }
}