Pith Number

pith:ISKGO7NX

pith:2012:ISKGO7NXTABEBRSBRVWFEAGY4L

not attested not anchored not stored refs pending

On Shapiro's lethargy theorem and some applications

A. G. Aksoy, J. M. Almira

arxiv:1211.3356 v3 · 2012-11-14 · 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{ISKGO7NXTABEBRSBRVWFEAGY4L}

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	2026-05-18T03:12:57.845860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4494677db7980240c6418d6c5200d8e2f86635e25c694ad2dffa5d8506fa2727

Aliases

arxiv: 1211.3356 · arxiv_version: 1211.3356v3 · doi: 10.48550/arxiv.1211.3356 · pith_short_12: ISKGO7NXTABE · pith_short_16: ISKGO7NXTABEBRSB · pith_short_8: ISKGO7NX

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/ISKGO7NXTABEBRSBRVWFEAGY4L \
  | 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: 4494677db7980240c6418d6c5200d8e2f86635e25c694ad2dffa5d8506fa2727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72bd2819141f21d5ef98d5948a0490f367cf7b079a1d0339f1a618e56f9c8c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-11-14T16:55:08Z",
    "title_canon_sha256": "783d55ef8331b07082c6bc713212770cc645c78e0ed53a3e4314099d78229120"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3356",
    "kind": "arxiv",
    "version": 3
  }
}