Pith Number

pith:2E4PYJAI

pith:2023:2E4PYJAIX3TQETCNQU227OFKAN

not attested not anchored not stored refs pending

Proofs of NP = coNP = PSPACE: Current upgrade

Edward Hermann Haeusler, Lev Gordeev

arxiv:2311.17939 v3 · 2023-11-28 · 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{2E4PYJAIX3TQETCNQU227OFKAN}

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	2026-05-18T03:10:13.198231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d138fc2408bee7024c4d8535afb8aa0347d6a897721d9e678c3302f2ea365859

Aliases

arxiv: 2311.17939 · arxiv_version: 2311.17939v3 · doi: 10.48550/arxiv.2311.17939 · pith_short_12: 2E4PYJAIX3TQ · pith_short_16: 2E4PYJAIX3TQETCN · pith_short_8: 2E4PYJAI

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/2E4PYJAIX3TQETCNQU227OFKAN \
  | 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: d138fc2408bee7024c4d8535afb8aa0347d6a897721d9e678c3302f2ea365859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328eb03a25191c0ecf25f29da2ef5ce1186cbf42c6a1183be2035b6947d43b7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2023-11-28T20:39:02Z",
    "title_canon_sha256": "2dbbe3c7e02cd93d6d607a9916fcd5591fa1fe6ec7b66b8b1449e1f0bb58003e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.17939",
    "kind": "arxiv",
    "version": 3
  }
}