Pith Number

pith:P77F5VRC

pith:2013:P77F5VRCGPAWDQRB4UVQXROM4K

not attested not anchored not stored refs pending

An extension of Nunokawa lemma and its example

Hitoshi Shiraishi, Mamoru Nunokawa

arxiv:1302.6903 v1 · 2013-02-27 · 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{P77F5VRCGPAWDQRB4UVQXROM4K}

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	2026-05-18T03:32:18.217803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffe5ed62233c161c221e52b0bc5cce2a448468876ec70fb8106ec103d751427

Aliases

arxiv: 1302.6903 · arxiv_version: 1302.6903v1 · doi: 10.48550/arxiv.1302.6903 · pith_short_12: P77F5VRCGPAW · pith_short_16: P77F5VRCGPAWDQRB · pith_short_8: P77F5VRC

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/P77F5VRCGPAWDQRB4UVQXROM4K \
  | 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: 7ffe5ed62233c161c221e52b0bc5cce2a448468876ec70fb8106ec103d751427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebdb1bf81dfc1ca43686f6fcbfc56112af07819ffd3116602dc2b8c78cdbf65c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-27T16:20:34Z",
    "title_canon_sha256": "49e6bc5f9ed993c591c38fcdc6cf11a2c8c36d187cd3b699e04579eb64bb17e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6903",
    "kind": "arxiv",
    "version": 1
  }
}