Pith Number

pith:QGNJ4PDX

pith:2018:QGNJ4PDXGGSJW7DUY5TIAXXRCD

not attested not anchored not stored refs pending

Jacobian-squared function-germs

Takashi Nishimura

arxiv:1806.10208 v1 · 2018-06-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGNJ4PDXGGSJW7DUY5TIAXXRCD}

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	2026-05-18T00:12:13.157167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819a9e3c7731a49b7c74c766805ef110ce24354485af30e5c8f8f4bd210dc001

Aliases

arxiv: 1806.10208 · arxiv_version: 1806.10208v1 · doi: 10.48550/arxiv.1806.10208 · pith_short_12: QGNJ4PDXGGSJ · pith_short_16: QGNJ4PDXGGSJW7DU · pith_short_8: QGNJ4PDX

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/QGNJ4PDXGGSJW7DUY5TIAXXRCD \
  | 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: 819a9e3c7731a49b7c74c766805ef110ce24354485af30e5c8f8f4bd210dc001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa5ebee95e30ba9b2c40e1363f77dd2863b93d8653d7451cf30522dccf6f130",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-19T13:35:43Z",
    "title_canon_sha256": "846836c46a1448b7b01d13f75fb4a43b551496bb7880098d2e2b5599df940947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10208",
    "kind": "arxiv",
    "version": 1
  }
}