Pith Number

pith:VXMG55XP

pith:2025:VXMG55XPP2I3ZVPE6LXQBMSY67

not attested not anchored not stored refs pending

The Satisfiability Threshold for K-XOR Games

Jared A. Hughes, J. William Helton

arxiv:2505.01628 v1 · 2025-05-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXMG55XPP2I3ZVPE6LXQBMSY67}

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	2026-07-05T10:58:01.034575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add86ef6ef7e91bcd5e4f2ef00b258f7c20c8e87ea698839ca027c92726baef8

Aliases

arxiv: 2505.01628 · arxiv_version: 2505.01628v1 · doi: 10.48550/arxiv.2505.01628 · pith_short_12: VXMG55XPP2I3 · pith_short_16: VXMG55XPP2I3ZVPE · pith_short_8: VXMG55XP

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/VXMG55XPP2I3ZVPE6LXQBMSY67 \
  | 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: add86ef6ef7e91bcd5e4f2ef00b258f7c20c8e87ea698839ca027c92726baef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a62a5b30e0d96ad228f17340ab15956cbffbbea7d0bd9e0f034bc38e98b76fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-02T23:33:38Z",
    "title_canon_sha256": "cc4f1465f4c60b910a600c2fb8bfe55df3e5f0a596b0257e3127717b9a257536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01628",
    "kind": "arxiv",
    "version": 1
  }
}