Pith Number

pith:4ET73F4S

pith:2016:4ET73F4SICGZZD3Z654JL5MJ3I

not attested not anchored not stored refs pending

Nowhere differentiable functions of analytic type on products of finitely connected planar domains

Christoforos Panagiotis, Vlassis Mastrantonis

arxiv:1608.08235 v2 · 2016-08-29 · 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{4ET73F4SICGZZD3Z654JL5MJ3I}

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	2026-05-18T00:49:06.614099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e127fd9792408d9c8f79f77895f589da13c1e9da4b7ec47198116cf679132ee4

Aliases

arxiv: 1608.08235 · arxiv_version: 1608.08235v2 · doi: 10.48550/arxiv.1608.08235 · pith_short_12: 4ET73F4SICGZ · pith_short_16: 4ET73F4SICGZZD3Z · pith_short_8: 4ET73F4S

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/4ET73F4SICGZZD3Z654JL5MJ3I \
  | 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: e127fd9792408d9c8f79f77895f589da13c1e9da4b7ec47198116cf679132ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b1b8578d0c23c7e8d83ee94dbf08e737a57df8801788b7334547024d6e9308",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-08-29T20:22:16Z",
    "title_canon_sha256": "09afb97f31648176f180c374abe9df545dec7596046a58e7448cb767159e48ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08235",
    "kind": "arxiv",
    "version": 2
  }
}