Pith Number

pith:WCWW6IHP

pith:2011:WCWW6IHPBKZSFQTZSU7MYEI6NJ

not attested not anchored not stored refs pending

Hidden Symmetry Subgroup Problems

G\'abor Ivanyos, Miklos Santha, Pawel Wocjan, Thomas Decker

arxiv:1107.2189 v2 · 2011-07-12 · 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{WCWW6IHPBKZSFQTZSU7MYEI6NJ}

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	2026-05-18T02:48:01.199496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ad6f20ef0ab322c279953ecc111e6a7f8e3b61929290a24478a442d646b57b

Aliases

arxiv: 1107.2189 · arxiv_version: 1107.2189v2 · doi: 10.48550/arxiv.1107.2189 · pith_short_12: WCWW6IHPBKZS · pith_short_16: WCWW6IHPBKZSFQTZ · pith_short_8: WCWW6IHP

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/WCWW6IHPBKZSFQTZSU7MYEI6NJ \
  | 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: b0ad6f20ef0ab322c279953ecc111e6a7f8e3b61929290a24478a442d646b57b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1042439912f22b8508c0b775c816cdc472fbb3e10ff82513e1204a627b0c0951",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-12T05:24:55Z",
    "title_canon_sha256": "cc955f941efdd0b4345452a19d687c76bbc6cba1c1758b2497df511b688ab762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2189",
    "kind": "arxiv",
    "version": 2
  }
}