Pith Number

pith:GXV2ILPD

pith:2001:GXV2ILPDEO6ZLEESULJLKJ2CZ7

not attested not anchored not stored refs pending

Quantum homogenization

M. Hillery, M. Ziman, N. Gisin, P. Stelmachovic, V. Buzek, V. Scarani

arxiv:quant-ph/0110164 v1 · 2001-10-29 · 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{GXV2ILPDEO6ZLEESULJLKJ2CZ7}

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.

Cited by

1 paper in Pith

Landauer Principle and Thermodynamics of Computation

Receipt and verification

First computed	2026-07-04T14:45:43.435792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35eba42de323bd959092a2d2b52742cfefa65a40e9c4477e0f48fbc437508705

Aliases

arxiv: quant-ph/0110164 · arxiv_version: quant-ph/0110164v1 · doi: 10.48550/arxiv.quant-ph/0110164 · pith_short_12: GXV2ILPDEO6Z · pith_short_16: GXV2ILPDEO6ZLEES · pith_short_8: GXV2ILPD

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/GXV2ILPDEO6ZLEESULJLKJ2CZ7 \
  | 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: 35eba42de323bd959092a2d2b52742cfefa65a40e9c4477e0f48fbc437508705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81f905a77e9c3f3ae3bafadfa7bbb78f7f26a1fb4906eedff01ffea0f30a387",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-10-29T15:15:37Z",
    "title_canon_sha256": "a49d03e7f3a02b3e153b9314edf7444bab5cc5ad0de21dfe3254d981696961db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0110164",
    "kind": "arxiv",
    "version": 1
  }
}