Pith Number

pith:GDOJZ5WR

pith:2012:GDOJZ5WRCSPVM3OB6GID6YJRJU

not attested not anchored not stored refs pending

Real-Vector-Space Quantum Theory with a Universal Quantum Bit

Antoniya Aleksandrova, Victoria Borish, William K. Wootters

arxiv:1210.4535 v2 · 2012-10-16 · 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{GDOJZ5WRCSPVM3OB6GID6YJRJU}

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	2026-05-18T01:36:21.212881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30dc9cf6d1149f566dc1f1903f61314d090d72b77b462adf40eb6bb27d977fd3

Aliases

arxiv: 1210.4535 · arxiv_version: 1210.4535v2 · doi: 10.48550/arxiv.1210.4535 · pith_short_12: GDOJZ5WRCSPV · pith_short_16: GDOJZ5WRCSPVM3OB · pith_short_8: GDOJZ5WR

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/GDOJZ5WRCSPVM3OB6GID6YJRJU \
  | 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: 30dc9cf6d1149f566dc1f1903f61314d090d72b77b462adf40eb6bb27d977fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a04a62e695a3796390e0791f2313eee84682119f040642c437994eeea07566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-16T19:25:40Z",
    "title_canon_sha256": "ed532bde08ffaf86461814ea33908624b6b25f0a44f64e20781dee4f31f3f6fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4535",
    "kind": "arxiv",
    "version": 2
  }
}