Pith Number

pith:VISR37G6

pith:2026:VISR37G6CRRPSAOOHQMPC27GWQ

not attested not anchored not stored refs pending

Towards a Doubly Efficient IP=PSPACE

Liyan Chen, Matthew M. Hong, Yael Tauman Kalai, Zoe Xi

arxiv:2606.21799 v1 · 2026-06-19 · cs.CC · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VISR37G6CRRPSAOOHQMPC27GWQ}

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	2026-06-23T01:13:23.097860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa251dfcde1462f901ce3c18f16be6b41ba303883f8fc058e795ec99cb92ed73

Aliases

arxiv: 2606.21799 · arxiv_version: 2606.21799v1 · doi: 10.48550/arxiv.2606.21799 · pith_short_12: VISR37G6CRRP · pith_short_16: VISR37G6CRRPSAOO · pith_short_8: VISR37G6

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/VISR37G6CRRPSAOOHQMPC27GWQ \
  | 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: aa251dfcde1462f901ce3c18f16be6b41ba303883f8fc058e795ec99cb92ed73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d949f2aaa4cc42dc2c0675d1d850594d23611c2328e52df39e1a459729504e94",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-06-19T23:32:02Z",
    "title_canon_sha256": "55f7144a8c0a5ad9f8273132f05346f66b95ffe7defc7b8ed54dcd9b62463586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21799",
    "kind": "arxiv",
    "version": 1
  }
}