Pith Number

pith:4IUCEQKB

pith:2012:4IUCEQKBRXAMQAFRBCBZJKGEZI

not attested not anchored not stored refs pending

Diffusion maps for changing data

Matthew J. Hirn, Ronald R. Coifman

arxiv:1209.0245 v3 · 2012-09-03 · math.CA · cs.IT · math.IT · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IUCEQKBRXAMQAFRBCBZJKGEZI}

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	2026-05-18T02:20:50.656124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2282241418dc0c800b1088394a8c4ca19a1b5f0e9d9a2e78b4e1d909a7576b0

Aliases

arxiv: 1209.0245 · arxiv_version: 1209.0245v3 · doi: 10.48550/arxiv.1209.0245 · pith_short_12: 4IUCEQKBRXAM · pith_short_16: 4IUCEQKBRXAMQAFR · pith_short_8: 4IUCEQKB

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/4IUCEQKBRXAMQAFRBCBZJKGEZI \
  | 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: e2282241418dc0c800b1088394a8c4ca19a1b5f0e9d9a2e78b4e1d909a7576b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9ec218727b3b8f2894ef846fdfde8c409aa9df5b0be5577623c65fdaf5a788",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-03T04:54:39Z",
    "title_canon_sha256": "f3294b295d4550b192c960af4316b10c2720a27091d5302b53d588ee535d7da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0245",
    "kind": "arxiv",
    "version": 3
  }
}