Pith Number

pith:4OFHAQF5

pith:2016:4OFHAQF5BMSDBFWUVYT6DQYJQP

not attested not anchored not stored refs pending

Cyclicity in the harmonic Dirichlet space

Evgueni Abakumov (LAMA), Karim Kellay (IMB), Omar El-Fallah, Thomas Ransford

arxiv:1601.06572 v1 · 2016-01-25 · math.CV · math.CA · 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{4OFHAQF5BMSDBFWUVYT6DQYJQP}

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	2026-05-18T01:22:04.197426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e38a7040bd0b243096d4ae27e1c30983d556d0329b7adeaa6fcdd6bc8467f757

Aliases

arxiv: 1601.06572 · arxiv_version: 1601.06572v1 · doi: 10.48550/arxiv.1601.06572 · pith_short_12: 4OFHAQF5BMSD · pith_short_16: 4OFHAQF5BMSDBFWU · pith_short_8: 4OFHAQF5

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/4OFHAQF5BMSDBFWUVYT6DQYJQP \
  | 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: e38a7040bd0b243096d4ae27e1c30983d556d0329b7adeaa6fcdd6bc8467f757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529c4eb7ace9439ceb96bbfc4396609c3c2c4c74160894c83b80e682bb2548d4",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-25T12:12:20Z",
    "title_canon_sha256": "c17300e13dad737d5b7b7948c0da550a531fbf8908ccf772ea82be2ed03eab52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06572",
    "kind": "arxiv",
    "version": 1
  }
}