Pith Number

pith:4FXMISGG

pith:2015:4FXMISGGLZHSYUAUSAEHZANF6N

not attested not anchored not stored refs pending

On exact counting and quasi-quantum complexity

Niel de Beaudrap

arxiv:1509.07789 v1 · 2015-09-25 · cs.CC · 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{4FXMISGGLZHSYUAUSAEHZANF6N}

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	2026-05-18T01:32:01.946289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e16ec448c65e4f2c501490087c81a5f37a260385ba7c0b5a04c1085a1bf776d1

Aliases

arxiv: 1509.07789 · arxiv_version: 1509.07789v1 · doi: 10.48550/arxiv.1509.07789 · pith_short_12: 4FXMISGGLZHS · pith_short_16: 4FXMISGGLZHSYUAU · pith_short_8: 4FXMISGG

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/4FXMISGGLZHSYUAUSAEHZANF6N \
  | 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: e16ec448c65e4f2c501490087c81a5f37a260385ba7c0b5a04c1085a1bf776d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8825868b19319f92120850f172dd29069272029be49e1f1ed98035162c400b86",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-09-25T16:54:10Z",
    "title_canon_sha256": "0723cfa1183822e08712fd8d0ae315d8b11b6f67456c1f33e0fc28a3947bc54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07789",
    "kind": "arxiv",
    "version": 1
  }
}