Pith Number

pith:MYL2GYZ7

pith:2009:MYL2GYZ7RAJCGW3LGR3VZWAOI5

not attested not anchored not stored refs pending

Two-message quantum interactive proofs are in PSPACE

John Watrous, Rahul Jain, Sarvagya Upadhyay

arxiv:0905.1300 v1 · 2009-05-08 · 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{MYL2GYZ7RAJCGW3LGR3VZWAOI5}

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	2026-07-04T15:42:18.328932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6617a3633f8812235b6b34775cd80e477d11edbb0bac82e442a380b2eea3fff2

Aliases

arxiv: 0905.1300 · arxiv_version: 0905.1300v1 · doi: 10.48550/arxiv.0905.1300 · pith_short_12: MYL2GYZ7RAJC · pith_short_16: MYL2GYZ7RAJCGW3L · pith_short_8: MYL2GYZ7

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/MYL2GYZ7RAJCGW3LGR3VZWAOI5 \
  | 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: 6617a3633f8812235b6b34775cd80e477d11edbb0bac82e442a380b2eea3fff2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "653e0eaae73834b35ca04bfb575d38b300625ad40d0f52ee78d05a022c612225",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2009-05-08T17:22:04Z",
    "title_canon_sha256": "abe61a640b8be1219655fafe0b0760f709b109a913e363b26a30a2e7b789cdb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1300",
    "kind": "arxiv",
    "version": 1
  }
}