Pith Number

pith:NDQAPN7D

pith:2015:NDQAPN7DSFUDCC7NUYYYUUKIMZ

not attested not anchored not stored refs pending

Radii of covering disks for locally univalent harmonic mappings

Saminathan Ponnusamy, Sergey Yu. Graf, Victor V. Starkov

arxiv:1501.04194 v3 · 2015-01-17 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDQAPN7DSFUDCC7NUYYYUUKIMZ}

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	2026-05-18T01:18:25.609897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e007b7e39168310beda6318a5148664d6fdc9f3c2e0671359aaef00697c86d

Aliases

arxiv: 1501.04194 · arxiv_version: 1501.04194v3 · doi: 10.48550/arxiv.1501.04194 · pith_short_12: NDQAPN7DSFUD · pith_short_16: NDQAPN7DSFUDCC7N · pith_short_8: NDQAPN7D

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/NDQAPN7DSFUDCC7NUYYYUUKIMZ \
  | 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: 68e007b7e39168310beda6318a5148664d6fdc9f3c2e0671359aaef00697c86d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5fe9908c0c112cf799fdb769eb12edf806218a9ca866c7012ac3f7bd9fb91c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-01-17T12:05:37Z",
    "title_canon_sha256": "c281e889b27f87102859533bef080dd96cdef91f5f82b561b227e5f40ef906e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04194",
    "kind": "arxiv",
    "version": 3
  }
}