Pith Number

pith:NXKCEPWH

pith:2026:NXKCEPWHMARQE73SEYOKTWKXYV

not attested not anchored not stored refs pending

The sharp SAT/UNSAT phase transition in random ellipsoid fitting

Garrett G. Wen, Theodor Misiakiewicz

arxiv:2608.10184 v1 · 2026-08-10 · math.PR · cond-mat.dis-nn · cs.DS · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXKCEPWHMARQE73SEYOKTWKXYV}

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	2026-08-12T00:22:59.961858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd4223ec76023027f72261ca9d957c54a5ab00e9b14e0780bb626a5d64f6737

Aliases

arxiv: 2608.10184 · arxiv_version: 2608.10184v1 · doi: 10.48550/arxiv.2608.10184 · pith_short_12: NXKCEPWHMARQ · pith_short_16: NXKCEPWHMARQE73S · pith_short_8: NXKCEPWH

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/NXKCEPWHMARQE73SEYOKTWKXYV \
  | 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: 6dd4223ec76023027f72261ca9d957c54a5ab00e9b14e0780bb626a5d64f6737

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871668297d9c16d6dd21b12ecfb78b625b428d47d24014dea002d7672d69d864",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.DS",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-10T19:55:11Z",
    "title_canon_sha256": "520eb7498321e45cb66443a24116de45374094c257e3aca7b270fa399ebdeda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10184",
    "kind": "arxiv",
    "version": 1
  }
}