Pith Number

pith:AKKUDI6O

pith:2010:AKKUDI6ODUDKLI2TFJCZPQG3XE

not attested not anchored not stored refs pending

Some attempts at proving the non-existence of a full set of mutually unbiased bases in dimension 6

Guo Chuan Thiang

arxiv:1012.3147 v1 · 2010-12-14 · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKKUDI6ODUDKLI2TFJCZPQG3XE}

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	2026-05-18T04:33:18.501748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029541a3ce1d06a5a3532a4597c0dbb9276ce0030fb42d2360b089bfa0fd72fc

Aliases

arxiv: 1012.3147 · arxiv_version: 1012.3147v1 · doi: 10.48550/arxiv.1012.3147 · pith_short_12: AKKUDI6ODUDK · pith_short_16: AKKUDI6ODUDKLI2T · pith_short_8: AKKUDI6O

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/AKKUDI6ODUDKLI2TFJCZPQG3XE \
  | 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: 029541a3ce1d06a5a3532a4597c0dbb9276ce0030fb42d2360b089bfa0fd72fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b6ea37a88f6a901e7ca8a443bc376f5cfc625e3cf2569ea12811a04092bf69",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-14T19:44:08Z",
    "title_canon_sha256": "6fe0c978f80b6097354d0e96ea60b3875299587411e735905582db199218930e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3147",
    "kind": "arxiv",
    "version": 1
  }
}