Pith Number

pith:LZAF2N46

pith:2015:LZAF2N46K2BSIMEHRCATTXXOIB

not attested not anchored not stored refs pending

Galois points for a plane curve and its dual curve, II

Kei Miura, Satoru Fukasawa

arxiv:1503.00935 v1 · 2015-03-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZAF2N46K2BSIMEHRCATTXXOIB}

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	2026-05-18T01:19:40.911837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e405d379e5683243087888139deee405b09c87778e4b9e4058a182225cb4bbd

Aliases

arxiv: 1503.00935 · arxiv_version: 1503.00935v1 · doi: 10.48550/arxiv.1503.00935 · pith_short_12: LZAF2N46K2BS · pith_short_16: LZAF2N46K2BSIMEH · pith_short_8: LZAF2N46

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/LZAF2N46K2BSIMEHRCATTXXOIB \
  | 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: 5e405d379e5683243087888139deee405b09c87778e4b9e4058a182225cb4bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "828d45723af4f2a2e3f15f6dfe2389dd997fa14274353054aad6f07ff4975209",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-03T13:22:55Z",
    "title_canon_sha256": "14a3ae5184dfe8a2db822f542d3b4e14405caf94afcab432f7ee2d1ff8edfb3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00935",
    "kind": "arxiv",
    "version": 1
  }
}