Pith Number

pith:72DZLMI5

pith:2026:72DZLMI5DJPKZANDCZF5X54WYT

not attested not anchored not stored refs pending

Recovery of latent inner products from an anisotropic Gaussian random geometric graph

Cheng Mao, Vidya Muthukumar

arxiv:2607.23723 v1 · 2026-07-26 · 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{72DZLMI5DJPKZANDCZF5X54WYT}

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	2026-07-28T01:23:07.662374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8795b11d1a5eac81a3164bdbf796c4feae69ac08d28fb4e540745cb47b44e5

Aliases

arxiv: 2607.23723 · arxiv_version: 2607.23723v1 · doi: 10.48550/arxiv.2607.23723 · pith_short_12: 72DZLMI5DJPK · pith_short_16: 72DZLMI5DJPKZAND · pith_short_8: 72DZLMI5

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/72DZLMI5DJPKZANDCZF5X54WYT \
  | 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: fe8795b11d1a5eac81a3164bdbf796c4feae69ac08d28fb4e540745cb47b44e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5441f2aeb583cab905429e094c95edfabbbd8177a20fe9c381ec6c18b2cbd53",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-26T15:39:14Z",
    "title_canon_sha256": "a3227f9ed67272172ddfa467a1c28c96c382c1ee11a85cb86fb4cfe9f728001b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23723",
    "kind": "arxiv",
    "version": 1
  }
}