Pith Number

pith:MCVHDA76

pith:2013:MCVHDA76L2RJSA7P5ZLA2CTREF

not attested not anchored not stored refs pending

Basis entropy in Banach spaces

Andrei Dorogovtsev, Mikhail Popov

arxiv:1310.7248 v1 · 2013-10-27 · 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{MCVHDA76L2RJSA7P5ZLA2CTREF}

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	2026-05-18T03:08:45.842823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60aa7183fe5ea29903efee560d0a7121536884898481c7be32915bcb8a1ec702

Aliases

arxiv: 1310.7248 · arxiv_version: 1310.7248v1 · doi: 10.48550/arxiv.1310.7248 · pith_short_12: MCVHDA76L2RJ · pith_short_16: MCVHDA76L2RJSA7P · pith_short_8: MCVHDA76

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/MCVHDA76L2RJSA7P5ZLA2CTREF \
  | 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: 60aa7183fe5ea29903efee560d0a7121536884898481c7be32915bcb8a1ec702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d8f31dfe0be48ad4cbdb66acdce3c8a9bc22233bc386ca9795fee669a03b67e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-27T20:37:17Z",
    "title_canon_sha256": "4084b7e6585473ee9a428aa174f80c699492c348bfe68b96e4858468b33d42b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7248",
    "kind": "arxiv",
    "version": 1
  }
}