Pith Number

pith:2VMRBTJV

pith:2014:2VMRBTJVNTTQ3VI65JGD43KI2M

not attested not anchored not stored refs pending

Bounds for the number of Galois points for plane curves

Satoru Fukasawa

arxiv:1404.4413 v6 · 2014-04-17 · 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{2VMRBTJVNTTQ3VI65JGD43KI2M}

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	2026-05-18T02:18:40.937660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55910cd356ce70dd51eea4c3e6d48d3118714f2c8c56d99810195b7f4c8731f

Aliases

arxiv: 1404.4413 · arxiv_version: 1404.4413v6 · doi: 10.48550/arxiv.1404.4413 · pith_short_12: 2VMRBTJVNTTQ · pith_short_16: 2VMRBTJVNTTQ3VI6 · pith_short_8: 2VMRBTJV

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/2VMRBTJVNTTQ3VI65JGD43KI2M \
  | 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: d55910cd356ce70dd51eea4c3e6d48d3118714f2c8c56d99810195b7f4c8731f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82d4e0ca87dd441df42c3a0e9f4cbd309928e4623db3a3ccfdb880f19d60404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-17T01:59:43Z",
    "title_canon_sha256": "0650c39ce41f98b2a8211098d283cf4d0a363e9b5be526449a8191e6fa32271b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4413",
    "kind": "arxiv",
    "version": 6
  }
}