Pith Number

pith:O7K3IA3Q

pith:2023:O7K3IA3QCYEJX5VFSZUSGAORGQ

not attested not anchored not stored refs pending

The $k$-XORSAT threshold revisited

Amin Coja-Oghlan, Lena Krieg, Maurice Rolvien, Mihyun Kang

arxiv:2301.09287 v1 · 2023-01-23 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7K3IA3QCYEJX5VFSZUSGAORGQ}

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	2026-07-05T05:34:59.072158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d5b4037016089bf6a596692301d1341038aaee7be0898ea6210781184dde4f

Aliases

arxiv: 2301.09287 · arxiv_version: 2301.09287v1 · doi: 10.48550/arxiv.2301.09287 · pith_short_12: O7K3IA3QCYEJ · pith_short_16: O7K3IA3QCYEJX5VF · pith_short_8: O7K3IA3Q

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/O7K3IA3QCYEJX5VFSZUSGAORGQ \
  | 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: 77d5b4037016089bf6a596692301d1341038aaee7be0898ea6210781184dde4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d334727447218f0976ad9475827bedb1b3c3ece5002741fcf2014f515ee607",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-23T06:15:23Z",
    "title_canon_sha256": "afb35f70a3f18130115f025f8d3e957d22236fa4666cf574f3f64282b5ccd6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.09287",
    "kind": "arxiv",
    "version": 1
  }
}