Pith Number

pith:6GPKGS5J

pith:2019:6GPKGS5JXEEQYRPW5BY4DYE6C3

not attested not anchored not stored refs pending

Continuity of Subharmonic Functions

Mansour Kalantar

arxiv:1907.09678 v1 · 2019-07-23 · 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{6GPKGS5JXEEQYRPW5BY4DYE6C3}

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	2026-05-17T23:39:50.417511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f19ea34ba9b9090c45f6e871c1e09e16f5ed74370b6f876bc8594db0dc8828db

Aliases

arxiv: 1907.09678 · arxiv_version: 1907.09678v1 · doi: 10.48550/arxiv.1907.09678 · pith_short_12: 6GPKGS5JXEEQ · pith_short_16: 6GPKGS5JXEEQYRPW · pith_short_8: 6GPKGS5J

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/6GPKGS5JXEEQYRPW5BY4DYE6C3 \
  | 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: f19ea34ba9b9090c45f6e871c1e09e16f5ed74370b6f876bc8594db0dc8828db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9389b1ab9ac4b3bb6712c71105a633d09a9c10e6bd7965eb3a266cdacdc7a3f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-07-23T03:39:32Z",
    "title_canon_sha256": "f402a7048cd4ec47520ad59e40c98942cdf147b2ee7cbfd15033f46656de1f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09678",
    "kind": "arxiv",
    "version": 1
  }
}