Pith Number

pith:ANHFYVHK

pith:2003:ANHFYVHK7OVP74ZWW3QLNCOYNS

not attested not anchored not stored refs pending

Randomizing quantum states: Constructions and applications

Andreas Winter, Debbie Leung, Patrick Hayden, Peter W. Shor

arxiv:quant-ph/0307104 v3 · 2003-07-15 · 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{ANHFYVHK7OVP74ZWW3QLNCOYNS}

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	2026-07-04T14:46:21.579630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

034e5c54eafbaafff336b6e0b689d86c932dd998e7d37f4a31a1b72862a0da7c

Aliases

arxiv: quant-ph/0307104 · arxiv_version: quant-ph/0307104v3 · doi: 10.48550/arxiv.quant-ph/0307104 · pith_short_12: ANHFYVHK7OVP · pith_short_16: ANHFYVHK7OVP74ZW · pith_short_8: ANHFYVHK

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/ANHFYVHK7OVP74ZWW3QLNCOYNS \
  | 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: 034e5c54eafbaafff336b6e0b689d86c932dd998e7d37f4a31a1b72862a0da7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "649f8e25fce0410cb90751d13c59f4e1b10472556cf54c313008e726933537a6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-07-15T17:23:34Z",
    "title_canon_sha256": "0eaa337a70e2769f881a14564d64610565aa5b4b66b1adbeda0f97ee4340cd68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0307104",
    "kind": "arxiv",
    "version": 3
  }
}