Pith Number

pith:DIZ325F3

pith:2014:DIZ325F3WAEJ3YCB3Y6RDY2NSJ

not attested not anchored not stored refs pending

Ricci Curvature and the Manifold Learning Problem

Antonio G. Ache, Micah W. Warren

arxiv:1410.3351 v5 · 2014-10-13 · math.DG · cs.LG · math.MG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIZ325F3WAEJ3YCB3Y6RDY2NSJ}

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	2026-05-18T00:20:27.902311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a33bd74bbb0089de041de3d11e34d92750d61ac405092378aad21af83366d55

Aliases

arxiv: 1410.3351 · arxiv_version: 1410.3351v5 · doi: 10.48550/arxiv.1410.3351 · pith_short_12: DIZ325F3WAEJ · pith_short_16: DIZ325F3WAEJ3YCB · pith_short_8: DIZ325F3

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/DIZ325F3WAEJ3YCB3Y6RDY2NSJ \
  | 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: 1a33bd74bbb0089de041de3d11e34d92750d61ac405092378aad21af83366d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4874433b9e43d9715d694a2e80bd171403ddfc17fb907a2d5239e081b52c9e04",
    "cross_cats_sorted": [
      "cs.LG",
      "math.MG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-13T15:37:20Z",
    "title_canon_sha256": "a66fe76f3b8b527dc237d676bdad6900f4a63e3bbb2a64aa808fb2d505ac3f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3351",
    "kind": "arxiv",
    "version": 5
  }
}