Pith Number

pith:DI5BCLRL

pith:2014:DI5BCLRLVDRRBBPZYN7KKMNI3Y

not attested not anchored not stored refs pending

Two normality criteria and counterexamples to the converse of the bloch's principle

Kuldeep Singh Charak, Virender Singh

arxiv:1412.8271 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{DI5BCLRLVDRRBBPZYN7KKMNI3Y}

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	2026-05-18T02:30:23.635535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a3a112e2ba8e31085f9c37ea531a8de15f8c8057fb1cff21031c864a378b63d

Aliases

arxiv: 1412.8271 · arxiv_version: 1412.8271v1 · doi: 10.48550/arxiv.1412.8271 · pith_short_12: DI5BCLRLVDRR · pith_short_16: DI5BCLRLVDRRBBPZ · pith_short_8: DI5BCLRL

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/DI5BCLRLVDRRBBPZYN7KKMNI3Y \
  | 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: 1a3a112e2ba8e31085f9c37ea531a8de15f8c8057fb1cff21031c864a378b63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07294204f9189edd0577d32ce5b1eb5233fe7733f480eba005d2b16c9704a0d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-12-29T07:30:59Z",
    "title_canon_sha256": "a62c4f96d51ffaa3428461cfdd6a0571ea05b89160dd4c2bd0f83e0eb0f57836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8271",
    "kind": "arxiv",
    "version": 1
  }
}