Pith Number

pith:2QY4WS6O

pith:2016:2QY4WS6OGOAAVBY42IL4FPXC4I

not attested not anchored not stored refs pending

Number of rational branches of a plane singular curve over a finite field

Nazar Arakelian

arxiv:1612.06652 v3 · 2016-12-20 · math.NT · 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{2QY4WS6OGOAAVBY42IL4FPXC4I}

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	2026-05-18T00:44:42.212968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d431cb4bce33800a871cd217c2bee2e21f5e776a7206f6ba84b731d05274edb8

Aliases

arxiv: 1612.06652 · arxiv_version: 1612.06652v3 · doi: 10.48550/arxiv.1612.06652 · pith_short_12: 2QY4WS6OGOAA · pith_short_16: 2QY4WS6OGOAAVBY4 · pith_short_8: 2QY4WS6O

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/2QY4WS6OGOAAVBY42IL4FPXC4I \
  | 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: d431cb4bce33800a871cd217c2bee2e21f5e776a7206f6ba84b731d05274edb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdcd10598d10fd7fc23a6c257b20f004d9ba6d48072e0167cefcac9c7c211dd1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-20T13:29:48Z",
    "title_canon_sha256": "6ab73a1a4d2712c5f50914fe698eedce2c2fae9547da1a118482a413338fdbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06652",
    "kind": "arxiv",
    "version": 3
  }
}