Pith Number

pith:AQEB76AP

pith:2015:AQEB76APE4CFCZBNXKJXPC3YWS

not attested not anchored not stored refs pending

Quantum isometries of noncommutative polygonal spheres

Teodor Banica

arxiv:1501.05229 v2 · 2015-01-21 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQEB76APE4CFCZBNXKJXPC3YWS}

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	2026-05-18T01:08:26.704750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04081ff80f270451642dba93778b78b4880efcd51441c2e380fed6be07c8c8bb

Aliases

arxiv: 1501.05229 · arxiv_version: 1501.05229v2 · doi: 10.48550/arxiv.1501.05229 · pith_short_12: AQEB76APE4CF · pith_short_16: AQEB76APE4CFCZBN · pith_short_8: AQEB76AP

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/AQEB76APE4CFCZBNXKJXPC3YWS \
  | 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: 04081ff80f270451642dba93778b78b4880efcd51441c2e380fed6be07c8c8bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c64c66b56d9558e1ad6d4e3467579012d60d6436c1a5120132f244e14570c9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-01-21T17:00:46Z",
    "title_canon_sha256": "ad52583be271b9f4ab63e60dd1aa373b66318141aac35ac75dcbf4d05b7541c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05229",
    "kind": "arxiv",
    "version": 2
  }
}