pith. sign in
Pith Number

pith:VXFBIH4L

pith:2012:VXFBIH4LRPW4UXKOBSSET2IFFZ
not attested not anchored not stored refs pending

Balanced K-SAT and Biased random K-SAT on trees

Sharmistha Sahoo, Sumedha, Supriya Krishnamurthy

arxiv:1212.1942 v1 · 2012-12-10 · cond-mat.stat-mech · cs.AI · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VXFBIH4LRPW4UXKOBSSET2IFFZ}

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 2026-05-18T03:26:52.517037Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

adca141f8b8bedca5d4e0ca449e9052e6593eb86bc90edc42d1c97df1597b091

Aliases

arxiv: 1212.1942 · arxiv_version: 1212.1942v1 · doi: 10.48550/arxiv.1212.1942 · pith_short_12: VXFBIH4LRPW4 · pith_short_16: VXFBIH4LRPW4UXKO · pith_short_8: VXFBIH4L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VXFBIH4LRPW4UXKOBSSET2IFFZ \
  | 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: adca141f8b8bedca5d4e0ca449e9052e6593eb86bc90edc42d1c97df1597b091
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e7d8f62e056a655677c9c1e0f0c9aaf394e69ed31913b761b7feb5594538e0c1",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-12-10T00:20:45Z",
    "title_canon_sha256": "2865877d2eecd3fae2efe22082bc960edbfc8123883eb2dfa96ee82d8bb3804f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1942",
    "kind": "arxiv",
    "version": 1
  }
}