Pith Number

pith:VIBOQKRK

pith:2013:VIBOQKRKHWUHIUUCPCWHCCIPJ7

not attested not anchored not stored refs pending

Mystic Reflection Groups

Arkady Berenstein, Yuri Bazlov

arxiv:1312.6930 v2 · 2013-12-25 · math.RT · 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{VIBOQKRKHWUHIUUCPCWHCCIPJ7}

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	2026-05-18T02:54:54.324097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa02e82a2a3da874528278ac71090f4fc5fabf96dfdfe9ffef45590511c6c9a7

Aliases

arxiv: 1312.6930 · arxiv_version: 1312.6930v2 · doi: 10.48550/arxiv.1312.6930 · pith_short_12: VIBOQKRKHWUH · pith_short_16: VIBOQKRKHWUHIUUC · pith_short_8: VIBOQKRK

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/VIBOQKRKHWUHIUUCPCWHCCIPJ7 \
  | 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: aa02e82a2a3da874528278ac71090f4fc5fabf96dfdfe9ffef45590511c6c9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab8eb0c58065330539f691f05890633d806a54a2c60cb3199babd5d99a6a288",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-25T06:16:43Z",
    "title_canon_sha256": "c0aa51c88e62de52d0941002772180e43e8b942226bad34f2fc24a7a757db386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6930",
    "kind": "arxiv",
    "version": 2
  }
}