Pith Number

pith:HSZOVAGP

pith:2014:HSZOVAGPDOD2OMRA3VFWRIHQVQ

not attested not anchored not stored refs pending

Symmetric diffusions with polynomial eigenvectors

Dominique Bakry (IMT)

arxiv:1403.7468 v1 · 2014-03-28 · 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{HSZOVAGPDOD2OMRA3VFWRIHQVQ}

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	2026-05-18T02:55:19.585823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb2ea80cf1b87a73220dd4b68a0f0ac0a07c27866ce307a40b2aa2989a4766d

Aliases

arxiv: 1403.7468 · arxiv_version: 1403.7468v1 · doi: 10.48550/arxiv.1403.7468 · pith_short_12: HSZOVAGPDOD2 · pith_short_16: HSZOVAGPDOD2OMRA · pith_short_8: HSZOVAGP

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/HSZOVAGPDOD2OMRA3VFWRIHQVQ \
  | 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: 3cb2ea80cf1b87a73220dd4b68a0f0ac0a07c27866ce307a40b2aa2989a4766d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eade7629378d8df2cd4f94a6197597c0a6899b3f5a12d28a4e53875a59d0ae07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-28T18:04:03Z",
    "title_canon_sha256": "455838420c7f466005e72c68a3233fcf5b6ff97a27a09a181e6a05fef5ac1eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7468",
    "kind": "arxiv",
    "version": 1
  }
}