Pith Number

pith:EI7M4Q3Q

pith:2016:EI7M4Q3Q33K7655EB66DQRWPRP

not attested not anchored not stored refs pending

On the projective normality of cyclic coverings over a rational surface

Lei Song

arxiv:1612.06520 v4 · 2016-12-20 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EI7M4Q3Q33K7655EB66DQRWPRP}

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	2026-05-17T23:49:06.426601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

223ece4370ded5ff77a40fbc3846cf8bde4bec4bde7b07957892359e23a82978

Aliases

arxiv: 1612.06520 · arxiv_version: 1612.06520v4 · doi: 10.48550/arxiv.1612.06520 · pith_short_12: EI7M4Q3Q33K7 · pith_short_16: EI7M4Q3Q33K7655E · pith_short_8: EI7M4Q3Q

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/EI7M4Q3Q33K7655EB66DQRWPRP \
  | 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: 223ece4370ded5ff77a40fbc3846cf8bde4bec4bde7b07957892359e23a82978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e9b3d2179b14c21451ed6e75686e16ca33d9566b0d25417560f41e085c844f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-20T06:26:19Z",
    "title_canon_sha256": "0279c95561c7e9ff4464bf2aa391050262fd81e1f595451821be8bdcfb4a93b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06520",
    "kind": "arxiv",
    "version": 4
  }
}