Pith Number

pith:ZHHMCZAB

pith:2011:ZHHMCZABDF2IIHUDYWC3RJVO5A

not attested not anchored not stored refs pending

Mutually unbiased bases for quantum states defined over p-adic numbers

Alexander Russell, Wim van Dam

arxiv:1109.0060 v1 · 2011-09-01 · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHHMCZABDF2IIHUDYWC3RJVO5A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:14:17.539755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9cec164011974841e83c585b8a6aee834aba4ff5e3a84819c20d51797cd0124

Aliases

arxiv: 1109.0060 · arxiv_version: 1109.0060v1 · doi: 10.48550/arxiv.1109.0060 · pith_short_12: ZHHMCZABDF2I · pith_short_16: ZHHMCZABDF2IIHUD · pith_short_8: ZHHMCZAB

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/ZHHMCZABDF2IIHUDYWC3RJVO5A \
  | 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: c9cec164011974841e83c585b8a6aee834aba4ff5e3a84819c20d51797cd0124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929382f37e3610c5a2f5bf3cbdcb4da5922385e363439679021ffd64a626d4d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-01T01:02:49Z",
    "title_canon_sha256": "57a25a66b6f48c5dcd4cde11a45eff0e72e555f90f3c9e10259e622f113681cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0060",
    "kind": "arxiv",
    "version": 1
  }
}