Pith Number

pith:KYCQ2LEQ

pith:2014:KYCQ2LEQKXY352OG47JNR5U44X

not attested not anchored not stored refs pending

On ratios of harmonic functions

Alexander Logunov, Eugenia Malinnikova

arxiv:1402.2888 v2 · 2014-02-12 · math.AP · 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{KYCQ2LEQKXY352OG47JNR5U44X}

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	2026-05-18T02:25:26.599114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56050d2c9055f1bee9c6e7d2d8f69ce5ed47b7a9e4ffab776bffdea26399cee1

Aliases

arxiv: 1402.2888 · arxiv_version: 1402.2888v2 · doi: 10.48550/arxiv.1402.2888 · pith_short_12: KYCQ2LEQKXY3 · pith_short_16: KYCQ2LEQKXY352OG · pith_short_8: KYCQ2LEQ

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/KYCQ2LEQKXY352OG47JNR5U44X \
  | 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: 56050d2c9055f1bee9c6e7d2d8f69ce5ed47b7a9e4ffab776bffdea26399cee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41627d6a64bb536a6eaba3816b559a555e00b0ef3f95d0975da6b37f444cd68",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-12T16:38:55Z",
    "title_canon_sha256": "5b42c578e3f583ee6e96d4528057124c349734268ed9b299f2cc7227a18a8be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2888",
    "kind": "arxiv",
    "version": 2
  }
}