Pith Number

pith:IP4IYZON

pith:2015:IP4IYZONS5HT4HAZUWMLWOCBLA

not attested not anchored not stored refs pending

Sobolev algebras through heat kernel estimates

Dorothee Frey, Fr\'ed\'eric Bernicot, Thierry Coulhon

arxiv:1505.01442 v1 · 2015-05-06 · math.CA · math.FA

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

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	2026-05-18T02:16:49.349035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f88c65cd974f3e1c19a598bb3841583893278eae2f7b20f34954bf3ed2e234

Aliases

arxiv: 1505.01442 · arxiv_version: 1505.01442v1 · doi: 10.48550/arxiv.1505.01442 · pith_short_12: IP4IYZONS5HT · pith_short_16: IP4IYZONS5HT4HAZ · pith_short_8: IP4IYZON

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/IP4IYZONS5HT4HAZUWMLWOCBLA \
  | 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: 43f88c65cd974f3e1c19a598bb3841583893278eae2f7b20f34954bf3ed2e234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e4e20b708669a754422eea5a8329d4fcff1a336fe7899e09386872bf66d702",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-06T17:37:46Z",
    "title_canon_sha256": "59d3e2a6c1486653adffe7e57fd3b2b60b468f179ec1905dfd07bf1ad2f75050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01442",
    "kind": "arxiv",
    "version": 1
  }
}