Pith Number

pith:FMGOZ2CS

pith:2015:FMGOZ2CSQ3UDREHRSGWPR7Z4EK

not attested not anchored not stored refs pending

Some Normality Criteria and a Counterexample to the Converse of Bloch's Principle

Kuldeep Singh Charak, Shittal Sharma

arxiv:1509.07293 v1 · 2015-09-24 · 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{FMGOZ2CSQ3UDREHRSGWPR7Z4EK}

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	2026-05-18T01:32:09.368433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0cece85286e83890f191acf8ff3c228e1eb157cd64418f3b536731b4f3ca98

Aliases

arxiv: 1509.07293 · arxiv_version: 1509.07293v1 · doi: 10.48550/arxiv.1509.07293 · pith_short_12: FMGOZ2CSQ3UD · pith_short_16: FMGOZ2CSQ3UDREHR · pith_short_8: FMGOZ2CS

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/FMGOZ2CSQ3UDREHRSGWPR7Z4EK \
  | 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: 2b0cece85286e83890f191acf8ff3c228e1eb157cd64418f3b536731b4f3ca98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7885308c5afb17e7d4f0c4f1b872aa80e40df668741beaafdc2cf2d10da00eb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-24T09:58:25Z",
    "title_canon_sha256": "9cc02954dfbb7023a9222ed8f1c4cf9e79c1392b66f8961f3407bc741b18dcaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07293",
    "kind": "arxiv",
    "version": 1
  }
}