Pith Number

pith:22T4N4G7

pith:2015:22T4N4G7K5EF5SD6OO3R4PUTY7

not attested not anchored not stored refs pending

Computational Complexity of Some Quantum Theories in $1+1$ Dimensions

Saeed Mehraban

arxiv:1512.09243 v1 · 2015-12-31 · quant-ph · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22T4N4G7K5EF5SD6OO3R4PUTY7}

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	2026-05-18T01:23:32.909624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a7c6f0df57485ec87e73b71e3e93c7cab586bccfc39f18b778662e4bd34317

Aliases

arxiv: 1512.09243 · arxiv_version: 1512.09243v1 · doi: 10.48550/arxiv.1512.09243 · pith_short_12: 22T4N4G7K5EF · pith_short_16: 22T4N4G7K5EF5SD6 · pith_short_8: 22T4N4G7

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/22T4N4G7K5EF5SD6OO3R4PUTY7 \
  | 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: d6a7c6f0df57485ec87e73b71e3e93c7cab586bccfc39f18b778662e4bd34317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db351ecf0a9c4ca99ff53a0901c4e97ba3e6132467f89bb777b670a922c669e",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-31T09:16:21Z",
    "title_canon_sha256": "90f8ea9ab1ed839613bfde28d8f417df3040213721e04eda15de8f562b3bd6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09243",
    "kind": "arxiv",
    "version": 1
  }
}