Pith Number

pith:ABCQOYDL

pith:2013:ABCQOYDLQPR2C2G7IHHH2AVAFJ

not attested not anchored not stored refs pending

On physical problems that are slightly more difficult than QMA

Andris Ambainis

arxiv:1312.4758 v2 · 2013-12-17 · 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{ABCQOYDLQPR2C2G7IHHH2AVAFJ}

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	2026-05-18T02:54:30.426871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

004507606b83e3a168df41ce7d02a02a491badfb3b6e2ade9baba5882f063d7e

Aliases

arxiv: 1312.4758 · arxiv_version: 1312.4758v2 · doi: 10.48550/arxiv.1312.4758 · pith_short_12: ABCQOYDLQPR2 · pith_short_16: ABCQOYDLQPR2C2G7 · pith_short_8: ABCQOYDL

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/ABCQOYDLQPR2C2G7IHHH2AVAFJ \
  | 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: 004507606b83e3a168df41ce7d02a02a491badfb3b6e2ade9baba5882f063d7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026ed8ec84deb5c17b27371b508452ec03db725a446b60428d8a7a31a8efcad8",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-17T12:59:50Z",
    "title_canon_sha256": "9cef17db3633b6a9b0c1784e26dbaf5f3c6ae569f0e43277ead7205b56f436b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4758",
    "kind": "arxiv",
    "version": 2
  }
}