Pith Number

pith:P7LYCBAH

pith:2015:P7LYCBAH562AYH45P7H3E7HUYC

not attested not anchored not stored refs pending

On Bernstein classes of quasianalytic maps

Alexander Brudnyi

arxiv:1505.03322 v1 · 2015-05-11 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7LYCBAH562AYH45P7H3E7HUYC}

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	2026-05-18T02:12:09.563606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd7810407efb40c1f9d7fcfb27cf4c092a4500952da1bb3294b84023c19730c

Aliases

arxiv: 1505.03322 · arxiv_version: 1505.03322v1 · doi: 10.48550/arxiv.1505.03322 · pith_short_12: P7LYCBAH562A · pith_short_16: P7LYCBAH562AYH45 · pith_short_8: P7LYCBAH

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/P7LYCBAH562AYH45P7H3E7HUYC \
  | 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: 7fd7810407efb40c1f9d7fcfb27cf4c092a4500952da1bb3294b84023c19730c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d936a343b90ac7224c5c30438e0b192d08d12ac6d972ef3d65648897e3023b72",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-11T21:51:00Z",
    "title_canon_sha256": "f00e1d08d9944e31a8c45dd456958956df49be15f21603c8ba97f04436527227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03322",
    "kind": "arxiv",
    "version": 1
  }
}