Pith Number

pith:ZJXG4QC4

pith:2011:ZJXG4QC453SULREGZ3ML6N636E

not attested not anchored not stored refs pending

The curious nonexistence of Gaussian 2-designs

Peter S. Turner, Robin Blume-Kohout

arxiv:1110.1042 v1 · 2011-10-05 · 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{ZJXG4QC453SULREGZ3ML6N636E}

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	2026-05-18T02:57:07.040161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca6e6e405ceee545c486ced8bf37dbf11ac46258767c256aebe56d2e354fe7c4

Aliases

arxiv: 1110.1042 · arxiv_version: 1110.1042v1 · doi: 10.48550/arxiv.1110.1042 · pith_short_12: ZJXG4QC453SU · pith_short_16: ZJXG4QC453SULREG · pith_short_8: ZJXG4QC4

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/ZJXG4QC453SULREGZ3ML6N636E \
  | 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: ca6e6e405ceee545c486ced8bf37dbf11ac46258767c256aebe56d2e354fe7c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7a0a469a86dc9ad549c019213f8f051628fa66204fb132948799dae99129b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-05T17:00:11Z",
    "title_canon_sha256": "736fa83512751ea5db46c3c616ea32206d13e64613efea536ad4beec77a87a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1042",
    "kind": "arxiv",
    "version": 1
  }
}