Pith Number

pith:NKDYRSZM

pith:2014:NKDYRSZMOBKWA2CXN32OKVTHP4

not attested not anchored not stored refs pending

Aperture of plane curves

Daisuke Kagatsume, Takashi Nishimura

arxiv:1404.5164 v2 · 2014-04-21 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKDYRSZMOBKWA2CXN32OKVTHP4}

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	2026-05-18T02:44:30.967469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8788cb2c70556068576ef4e556677f090b677326f4dff8a6ffd336ff913c7c

Aliases

arxiv: 1404.5164 · arxiv_version: 1404.5164v2 · doi: 10.48550/arxiv.1404.5164 · pith_short_12: NKDYRSZMOBKW · pith_short_16: NKDYRSZMOBKWA2CX · pith_short_8: NKDYRSZM

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/NKDYRSZMOBKWA2CXN32OKVTHP4 \
  | 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: 6a8788cb2c70556068576ef4e556677f090b677326f4dff8a6ffd336ff913c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e0ede9bb50bfe2db537fcfb75cba77d2cbf5cd9ece0cc332513602b39ab3ff7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-04-21T10:27:11Z",
    "title_canon_sha256": "9729f0dd4e14eed711ecbb56cc83ff9d567305c7ee3cac47f47d7f6473103381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5164",
    "kind": "arxiv",
    "version": 2
  }
}