Pith Number

pith:DB4GZUQ2

pith:2018:DB4GZUQ2NOY2LX7KFAZYHASOCQ

not attested not anchored not stored refs pending

On Weierstrass gaps at several points

Guilherme Tizziotti, Wanderson Ten\'orio

arxiv:1803.08752 v1 · 2018-03-23 · 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{DB4GZUQ2NOY2LX7KFAZYHASOCQ}

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	2026-05-18T00:20:18.634043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18786cd21a6bb1a5dfea283383824e14104bfa276b658f55ddf74b8d9c9472f2

Aliases

arxiv: 1803.08752 · arxiv_version: 1803.08752v1 · doi: 10.48550/arxiv.1803.08752 · pith_short_12: DB4GZUQ2NOY2 · pith_short_16: DB4GZUQ2NOY2LX7K · pith_short_8: DB4GZUQ2

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/DB4GZUQ2NOY2LX7KFAZYHASOCQ \
  | 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: 18786cd21a6bb1a5dfea283383824e14104bfa276b658f55ddf74b8d9c9472f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639ea2ca2bb8796c18cb2297ba605d24ac90eef9039297be0359bad76a48b694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-23T11:47:22Z",
    "title_canon_sha256": "dae4cfb9c6115bf16ce1fd89b1da3e5154d83a02778e9c7a15b3ea3e1f4e36cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08752",
    "kind": "arxiv",
    "version": 1
  }
}