Pith Number

pith:XKDK2AIU

pith:2025:XKDK2AIUQSQVSP3LMD5POIM3VG

not attested not anchored not stored refs pending

The $\text{FP}^\text{NP}$ versus #P dichotomy for #EO

Boning Meng, Juqiu Wang, Mingji Xia

arxiv:2502.02012 v2 · 2025-02-04 · 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{XKDK2AIUQSQVSP3LMD5POIM3VG}

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.

Cited by

1 paper in Pith

From an odd arity signature to a Holant dichotomy

Receipt and verification

First computed	2026-07-05T10:53:51.475769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba86ad011484a1593f6b60faf7219ba99d29558f95976514de3d4834cfc00b51

Aliases

arxiv: 2502.02012 · arxiv_version: 2502.02012v2 · doi: 10.48550/arxiv.2502.02012 · pith_short_12: XKDK2AIUQSQV · pith_short_16: XKDK2AIUQSQVSP3L · pith_short_8: XKDK2AIU

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/XKDK2AIUQSQVSP3LMD5POIM3VG \
  | 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: ba86ad011484a1593f6b60faf7219ba99d29558f95976514de3d4834cfc00b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1a34043c38bece944a7eb659eef61c16e42fd190032193d6872803e80f75b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-02-04T05:03:23Z",
    "title_canon_sha256": "0cc62de80de2fc09eec8e1bf14c90a7c79b14be21e2d34fded2b3923d32c6736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02012",
    "kind": "arxiv",
    "version": 2
  }
}