Pith Number

pith:R3Q3DSSY

pith:2014:R3Q3DSSYBMH4IKGEL4GSB6FQBU

not attested not anchored not stored refs pending

Order 3 Symmetry in the Clifford Hierarchy

Earl Campbell, Ingemar Bengtsson, Kate Blanchfield, Mark Howard

arxiv:1407.2713 v3 · 2014-07-10 · 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{R3Q3DSSYBMH4IKGEL4GSB6FQBU}

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	2026-05-18T01:42:38.295762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee1b1ca580b0fc428c45f0d20f8b00d164680832cdfa0af7097871c6b36ef0c

Aliases

arxiv: 1407.2713 · arxiv_version: 1407.2713v3 · doi: 10.48550/arxiv.1407.2713 · pith_short_12: R3Q3DSSYBMH4 · pith_short_16: R3Q3DSSYBMH4IKGE · pith_short_8: R3Q3DSSY

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/R3Q3DSSYBMH4IKGEL4GSB6FQBU \
  | 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: 8ee1b1ca580b0fc428c45f0d20f8b00d164680832cdfa0af7097871c6b36ef0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e3af0af0f9ce3b0230f1421cf9fe3c0246de27c765db88ada047f7970e292b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-10T07:24:33Z",
    "title_canon_sha256": "904267cf6b3d75d8bccf3904b63fbf7a0e166b029c1e0df378da732e5d5ae968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2713",
    "kind": "arxiv",
    "version": 3
  }
}