Pith Number

pith:SEB4PR7E

pith:2014:SEB4PR7EUEZRZVBYKBQGSIC4AH

not attested not anchored not stored refs pending

Carleman-Sobolev classes for small exponents

Aron Wennman, Gustav Behm

arxiv:1404.3127 v2 · 2014-04-11 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEB4PR7EUEZRZVBYKBQGSIC4AH}

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	2026-05-18T02:54:04.602490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9103c7c7e4a1331cd438506069205c01d22dc83bc18f2ab92b5c6f18a6b8b37c

Aliases

arxiv: 1404.3127 · arxiv_version: 1404.3127v2 · doi: 10.48550/arxiv.1404.3127 · pith_short_12: SEB4PR7EUEZR · pith_short_16: SEB4PR7EUEZRZVBY · pith_short_8: SEB4PR7E

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/SEB4PR7EUEZRZVBYKBQGSIC4AH \
  | 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: 9103c7c7e4a1331cd438506069205c01d22dc83bc18f2ab92b5c6f18a6b8b37c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf685d2c802201267ba4de6c35e957b2dcc89bb23fd7744b98c652030d0d6c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-11T14:58:05Z",
    "title_canon_sha256": "fb7036bb3dc5b45bfd2f2f97ec3b1883815b0bc2ed4d4e5bce869db17203b44e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3127",
    "kind": "arxiv",
    "version": 2
  }
}