Pith Number

pith:UIFLEF7E

pith:2012:UIFLEF7EDLKUEW2EZHP4VNKZ4N

not attested not anchored not stored refs pending

On the divergence of series of the form \sum_{k=1}^\infty\|A_k x\|^p

Ivan Feshchenko

arxiv:1208.1863 v1 · 2012-08-09 · 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{UIFLEF7EDLKUEW2EZHP4VNKZ4N}

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	2026-05-18T03:49:09.804792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a20ab217e41ad5425b44c9dfcab559e3486a7ba22a9d0ab34f18dd06bb4d6dd0

Aliases

arxiv: 1208.1863 · arxiv_version: 1208.1863v1 · doi: 10.48550/arxiv.1208.1863 · pith_short_12: UIFLEF7EDLKU · pith_short_16: UIFLEF7EDLKUEW2E · pith_short_8: UIFLEF7E

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/UIFLEF7EDLKUEW2EZHP4VNKZ4N \
  | 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: a20ab217e41ad5425b44c9dfcab559e3486a7ba22a9d0ab34f18dd06bb4d6dd0

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": "2012-08-09T10:26:22Z",
    "title_canon_sha256": "560950e68cb96164b7a5d6e836a80e5670bcc40b4e3f6ab7f1d458dab80fc11d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1863",
    "kind": "arxiv",
    "version": 1
  }
}