Pith Number

pith:AR3GE2SG

pith:2005:AR3GE2SG7NOSBWSAWID5C4CPZ4

not attested not anchored not stored refs pending

Diffusion maps, spectral clustering and reaction coordinates of dynamical systems

Boaz Nadler, Ioannis G. Kevrekidis, Ronald R. Coifman, Stephane Lafon

arxiv:math/0503445 v1 · 2005-03-22 · math.NA · cs.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR3GE2SG7NOSBWSAWID5C4CPZ4}

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	2026-06-03T22:06:16.721045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0476626a46fb5d20da40b207d1704fcf07c5b8c8f51e9b811b821d7f84c992fa

Aliases

arxiv: math/0503445 · arxiv_version: math/0503445v1 · doi: 10.48550/arxiv.math/0503445 · pith_short_12: AR3GE2SG7NOS · pith_short_16: AR3GE2SG7NOSBWSA · pith_short_8: AR3GE2SG

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/AR3GE2SG7NOSBWSAWID5C4CPZ4 \
  | 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: 0476626a46fb5d20da40b207d1704fcf07c5b8c8f51e9b811b821d7f84c992fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "272419dc4a319bbd6cbacd88d7a05c0dfd799178379ce5276fdc6d6e6044b290",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-03-22T06:46:23Z",
    "title_canon_sha256": "a71f0183f97ce53a4d00ba0e0aa36dbebecf58d0ed833c41c521e73ac6c36475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503445",
    "kind": "arxiv",
    "version": 1
  }
}