Pith Number

pith:YJLU22EL

pith:2019:YJLU22ELTASETR5PZH2H3QED3Z

not attested not anchored not stored refs pending

Vanishing-Error Approximate Degree and QMA Complexity

Alexander A. Sherstov, Justin Thaler

arxiv:1909.07498 v1 · 2019-09-16 · 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{YJLU22ELTASETR5PZH2H3QED3Z}

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	2026-07-05T00:04:57.926591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2574d688b982449c7afc9f47dc083de7c47242f4f1b13f3fb5e8e60c0878fb8

Aliases

arxiv: 1909.07498 · arxiv_version: 1909.07498v1 · doi: 10.48550/arxiv.1909.07498 · pith_short_12: YJLU22ELTASE · pith_short_16: YJLU22ELTASETR5P · pith_short_8: YJLU22EL

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/YJLU22ELTASETR5PZH2H3QED3Z \
  | 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: c2574d688b982449c7afc9f47dc083de7c47242f4f1b13f3fb5e8e60c0878fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ff03fc79aca3598dacb821eb277fe2b47544f4c7714827d20137a2a70973e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-09-16T21:59:01Z",
    "title_canon_sha256": "7403750608a5a0c59854c11d0a7cfd783b0aee248fc7c0a4938b9d28b3d159a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07498",
    "kind": "arxiv",
    "version": 1
  }
}