Pith Number

pith:RYGPCXEQ

pith:2012:RYGPCXEQGCC72K6D2EZQ7PUYRF

not attested not anchored not stored refs pending

On the divergence of series of p-th powers of operator norms

Ivan Feshchenko

arxiv:1201.1316 v2 · 2012-01-05 · 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{RYGPCXEQGCC72K6D2EZQ7PUYRF}

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	2026-05-18T03:21:33.812043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0cf15c903085fd2bc3d1330fbe98895d46511f1cd4aba56d456b654fc247f0

Aliases

arxiv: 1201.1316 · arxiv_version: 1201.1316v2 · doi: 10.48550/arxiv.1201.1316 · pith_short_12: RYGPCXEQGCC7 · pith_short_16: RYGPCXEQGCC72K6D · pith_short_8: RYGPCXEQ

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/RYGPCXEQGCC72K6D2EZQ7PUYRF \
  | 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: 8e0cf15c903085fd2bc3d1330fbe98895d46511f1cd4aba56d456b654fc247f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0484964cf19342876978ab07b7fd5b7b36eca22c4e1356272b2d1e04919345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-05T22:10:27Z",
    "title_canon_sha256": "cfd63602fc74169f05a791467b2fddc7a0d025c5067d770e7aed4a8a4600af2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1316",
    "kind": "arxiv",
    "version": 2
  }
}