Pith Number

pith:4Q65OS3T

pith:2008:4Q65OS3TFFD7ODRAVAX3RM7ZR6

not attested not anchored not stored refs pending

Quadratic Form Expansions for Unitaries

Elham Kashefi, Martin Roetteler, Niel de Beaudrap, Vincent Danos

arxiv:0801.2461 v1 · 2008-01-16 · 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{4Q65OS3TFFD7ODRAVAX3RM7ZR6}

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	2026-05-18T03:05:36.350144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e43dd74b732947f70e20a82fb8b3f98fa9c38ae05acc940b8645891754174da9

Aliases

arxiv: 0801.2461 · arxiv_version: 0801.2461v1 · doi: 10.48550/arxiv.0801.2461 · pith_short_12: 4Q65OS3TFFD7 · pith_short_16: 4Q65OS3TFFD7ODRA · pith_short_8: 4Q65OS3T

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/4Q65OS3TFFD7ODRAVAX3RM7ZR6 \
  | 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: e43dd74b732947f70e20a82fb8b3f98fa9c38ae05acc940b8645891754174da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a1f4d2e4c9a0a7e76f7d2d3f6c968fcdd4f8264e2c3f118f17ea6c206491a8b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-01-16T12:25:03Z",
    "title_canon_sha256": "6745c13d0623b40a1a184b2d66fd5ecceb347eff75c78cf1968991d0d65118d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.2461",
    "kind": "arxiv",
    "version": 1
  }
}