Pith Number

pith:YPZRS5HK

pith:2013:YPZRS5HKVRBD7W47RRDR4J4EKD

not attested not anchored not stored refs pending

Testing the Manifold Hypothesis

Charles Fefferman, Hariharan Narayanan, Sanjoy Mitter

arxiv:1310.0425 v2 · 2013-10-01 · math.ST · math.CA · math.DG · 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{YPZRS5HKVRBD7W47RRDR4J4EKD}

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.

Cited by

2 papers in Pith

Diffusion Models Memorize in Training -- and Generalize in Inference

Generative models on phase space

Receipt and verification

First computed	2026-05-18T03:04:08.159028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3f31974eaac423fdb9f8c471e278450e70f1e5f7c8ea3cbf3f164b8a66e4a77

Aliases

arxiv: 1310.0425 · arxiv_version: 1310.0425v2 · doi: 10.48550/arxiv.1310.0425 · pith_short_12: YPZRS5HKVRBD · pith_short_16: YPZRS5HKVRBD7W47 · pith_short_8: YPZRS5HK

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/YPZRS5HKVRBD7W47RRDR4J4EKD \
  | 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: c3f31974eaac423fdb9f8c471e278450e70f1e5f7c8ea3cbf3f164b8a66e4a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8ca9051a47ea6500dbe6fd0a97bfe576246f478a13ff319409a53edadc6943",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-10-01T18:54:49Z",
    "title_canon_sha256": "1a08bb05130bdfe137f34771143916c24e10e94ea63dad36bbfb591d462398ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0425",
    "kind": "arxiv",
    "version": 2
  }
}