Pith Number

pith:XF6EC4AX

pith:2016:XF6EC4AXN3K7WN5OZE27PROGX4

not attested not anchored not stored refs pending

On quasinearly subharmonic functions

J. Riihentaus, O. Dovgoshey

arxiv:1608.01259 v1 · 2016-08-03 · 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{XF6EC4AXN3K7WN5OZE27PROGX4}

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	2026-05-18T01:09:56.054374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97c4170176ed5fb37aec935f7c5c6bf114f0f5b1fd8c7e6610d6510a19c9f4b

Aliases

arxiv: 1608.01259 · arxiv_version: 1608.01259v1 · doi: 10.48550/arxiv.1608.01259 · pith_short_12: XF6EC4AXN3K7 · pith_short_16: XF6EC4AXN3K7WN5O · pith_short_8: XF6EC4AX

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/XF6EC4AXN3K7WN5OZE27PROGX4 \
  | 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: b97c4170176ed5fb37aec935f7c5c6bf114f0f5b1fd8c7e6610d6510a19c9f4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d34198703e794e453c65ebdb8ab628d8e558157a4cbcd0f46bef5310c9ea305f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-03T17:10:44Z",
    "title_canon_sha256": "a1ee0a14aefb1c6ba2a03102a885d0da3c007954a5d0bc96e13ac10d31833adf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01259",
    "kind": "arxiv",
    "version": 1
  }
}