Pith Number

pith:AS2P4AYX

pith:2012:AS2P4AYXE3HKV2RXHRWXA6BIAV

not attested not anchored not stored refs pending

Isomorphisms of some quantum spaces

Jason Gaddis

arxiv:1210.8413 v2 · 2012-10-31 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AS2P4AYXE3HKV2RXHRWXA6BIAV}

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	2026-05-18T00:06:56.907562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04b4fe031726ceaaea373c6d707828054091e3df39e06f0344feb9667530d641

Aliases

arxiv: 1210.8413 · arxiv_version: 1210.8413v2 · doi: 10.48550/arxiv.1210.8413 · pith_short_12: AS2P4AYXE3HK · pith_short_16: AS2P4AYXE3HKV2RX · pith_short_8: AS2P4AYX

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/AS2P4AYXE3HKV2RXHRWXA6BIAV \
  | 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: 04b4fe031726ceaaea373c6d707828054091e3df39e06f0344feb9667530d641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a4f4755196e16586032d86a6de3a877f943268c3562ededd6dc9fdb77802ea",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-31T17:42:50Z",
    "title_canon_sha256": "7eba8c08dd52e9830625de328c78b25ee4f68bb48463055b24ac4701e9b26ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8413",
    "kind": "arxiv",
    "version": 2
  }
}