Pith Number

pith:BLHAPUHS

pith:2012:BLHAPUHSCJXHHTREZUC5DVWAOW

not attested not anchored not stored refs pending

Quantum Dimensions and Quantum Galois Theory

Chongying Dong, Feng Xu, Xiangyu Jiao

arxiv:1201.2738 v1 · 2012-01-13 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLHAPUHSCJXHHTREZUC5DVWAOW}

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	2026-05-18T04:04:43.205020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ace07d0f2126e73ce24cd05d1d6c075a0fda2dcd4573ab6762cc9415b4b166f

Aliases

arxiv: 1201.2738 · arxiv_version: 1201.2738v1 · doi: 10.48550/arxiv.1201.2738 · pith_short_12: BLHAPUHSCJXH · pith_short_16: BLHAPUHSCJXHHTRE · pith_short_8: BLHAPUHS

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/BLHAPUHSCJXHHTREZUC5DVWAOW \
  | 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: 0ace07d0f2126e73ce24cd05d1d6c075a0fda2dcd4573ab6762cc9415b4b166f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34fcdfb84abddda9f16f32d119c5fe836a2023fcb430d1466a6114f9e36031d",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-01-13T03:41:13Z",
    "title_canon_sha256": "2c5257d0bd85760f3292cd47affd12a2e32ad22afcbd43ea4ad6c972a8d58324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2738",
    "kind": "arxiv",
    "version": 1
  }
}