Pith Number

pith:EENKH3ZC

pith:2005:EENKH3ZCGFCRS6DXRZ57XI56N3

not attested not anchored not stored refs pending

Periodic and discrete Zak bases

Ady Mann, Berthold-Georg Englert, Kean Loon Lee, Michael Revzen

arxiv:quant-ph/0511234 v1 · 2005-11-25 · 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{EENKH3ZCGFCRS6DXRZ57XI56N3}

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	2026-05-18T04:26:54.997847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211aa3ef2231451978778e7bfba3be6ef13c7a671a7e3aa7024e1dcbf28024c4

Aliases

arxiv: quant-ph/0511234 · arxiv_version: quant-ph/0511234v1 · doi: 10.48550/arxiv.quant-ph/0511234 · pith_short_12: EENKH3ZCGFCR · pith_short_16: EENKH3ZCGFCRS6DX · pith_short_8: EENKH3ZC

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/EENKH3ZCGFCRS6DXRZ57XI56N3 \
  | 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: 211aa3ef2231451978778e7bfba3be6ef13c7a671a7e3aa7024e1dcbf28024c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28382a053c61abf838216894b6a640e7720f69f410c7d211a7c48dc078f61a1a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-11-25T01:00:13Z",
    "title_canon_sha256": "1d33b33d30901603bee650404a699805d3dd1d1f101690ceb7719420c4950620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0511234",
    "kind": "arxiv",
    "version": 1
  }
}