Pith Number

pith:PHPGTDZN

pith:2014:PHPGTDZNAJA657V3YKYBPZSYZN

not attested not anchored not stored refs pending

A Value Distribution Result and Some Normality Criteria using Partial Sharing of Small Functions

K.S.Charak, Shittal Sharma

arxiv:1412.8274 v1 · 2014-12-29 · 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{PHPGTDZNAJA657V3YKYBPZSYZN}

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	2026-05-18T02:30:23.618258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79de698f2d0241eefebbc2b017e658cb787df94399154d42cc442d922414e251

Aliases

arxiv: 1412.8274 · arxiv_version: 1412.8274v1 · doi: 10.48550/arxiv.1412.8274 · pith_short_12: PHPGTDZNAJA6 · pith_short_16: PHPGTDZNAJA657V3 · pith_short_8: PHPGTDZN

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/PHPGTDZNAJA657V3YKYBPZSYZN \
  | 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: 79de698f2d0241eefebbc2b017e658cb787df94399154d42cc442d922414e251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce504cf334c7931ce6c464108f8666f44ce365541e9966025382a0611b8aa66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-12-29T07:48:53Z",
    "title_canon_sha256": "d68db53bff46a12818210a5e8a8b427ee3e5dbe504f8a5dcb59474aebc222fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8274",
    "kind": "arxiv",
    "version": 1
  }
}