Pith Number

pith:FGW32XI5

pith:2010:FGW32XI5GDSHNQ6ZUGH347RRJG

not attested not anchored not stored refs pending

Unstructured Randomness, Small Gaps and Localization

David Gosset, Edward Farhi, Jeffrey Goldstone, Peter Shor, Sam Gutmann

arxiv:1010.0009 v1 · 2010-09-30 · 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{FGW32XI5GDSHNQ6ZUGH347RRJG}

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	2026-05-18T03:59:03.353762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29adbd5d1d30e476c3d9a18fbe7e3149a1c8cbd8f57b110f374e3e189cf7db3a

Aliases

arxiv: 1010.0009 · arxiv_version: 1010.0009v1 · doi: 10.48550/arxiv.1010.0009 · pith_short_12: FGW32XI5GDSH · pith_short_16: FGW32XI5GDSHNQ6Z · pith_short_8: FGW32XI5

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/FGW32XI5GDSHNQ6ZUGH347RRJG \
  | 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: 29adbd5d1d30e476c3d9a18fbe7e3149a1c8cbd8f57b110f374e3e189cf7db3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28aabf0bd26ba65747ff48b29d786bf23e8b2da4690f3931cafbf3d209b64aaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-09-30T20:00:54Z",
    "title_canon_sha256": "328f6c43fea49a94d2e1a51c1931c419c038f273656d21fee26cc2cfb58f3ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0009",
    "kind": "arxiv",
    "version": 1
  }
}