Pith Number

pith:PQOKYHIW

pith:2015:PQOKYHIW4C6LY537PGULRWXY6L

not attested not anchored not stored refs pending

Ratios of harmonic functions with the same zero set

Alexander Logunov, Eugenia Malinnikova

arxiv:1506.08041 v3 · 2015-06-26 · 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{PQOKYHIW4C6LY537PGULRWXY6L}

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	2026-05-18T00:50:40.593574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1cac1d16e0bcbc777f79a8b8daf8f2e32be51270ad99b7a725d173dc312b25

Aliases

arxiv: 1506.08041 · arxiv_version: 1506.08041v3 · doi: 10.48550/arxiv.1506.08041 · pith_short_12: PQOKYHIW4C6L · pith_short_16: PQOKYHIW4C6LY537 · pith_short_8: PQOKYHIW

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/PQOKYHIW4C6LY537PGULRWXY6L \
  | 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: 7c1cac1d16e0bcbc777f79a8b8daf8f2e32be51270ad99b7a725d173dc312b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8000d39cf07dca82a823d271d0f25db642f2831c6eb1c66887f03226051e995c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-26T12:07:44Z",
    "title_canon_sha256": "7b40471fba4c860c4e273d4fc32716adac990c40cf090fa9b8c07859b253aeb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08041",
    "kind": "arxiv",
    "version": 3
  }
}