Pith Number

pith:6QQ2XJON

pith:2018:6QQ2XJONB67Q4VY3MMYBWBWOZW

not attested not anchored not stored refs pending

A New Proof of Nakazi Theorem

Tapesh Yadav

arxiv:1812.09872 v1 · 2018-12-24 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QQ2XJONB67Q4VY3MMYBWBWOZW}

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	2026-05-17T23:57:26.552696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f421aba5cd0fbf0e571b63301b06cecd8fc764b83dad59f2e214470d8c9a057a

Aliases

arxiv: 1812.09872 · arxiv_version: 1812.09872v1 · doi: 10.48550/arxiv.1812.09872 · pith_short_12: 6QQ2XJONB67Q · pith_short_16: 6QQ2XJONB67Q4VY3 · pith_short_8: 6QQ2XJON

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/6QQ2XJONB67Q4VY3MMYBWBWOZW \
  | 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: f421aba5cd0fbf0e571b63301b06cecd8fc764b83dad59f2e214470d8c9a057a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfadff380071a1e2d028630632f178cb1b439790ced16b6c4aa9026f056c44a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-24T09:34:40Z",
    "title_canon_sha256": "5a027ecf106e4de436db8c2373fe06efa703a478fc7f0b4a1529c37d3875d37a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09872",
    "kind": "arxiv",
    "version": 1
  }
}