Pith Number

pith:Y3HTID4E

pith:2017:Y3HTID4E44EJHDWT7X3T4WT5N6

not attested not anchored not stored refs pending

Vologodsky integration on curves with semi-stable reduction

Amnon Besser, Sarah Livia Zerbes

arxiv:1711.06950 v1 · 2017-11-19 · 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{Y3HTID4E44EJHDWT7X3T4WT5N6}

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	2026-05-18T00:30:15.100336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6cf340f84e708938ed3fdf73e5a7d6fb715c70ff5a490db801b5b78c165b67b

Aliases

arxiv: 1711.06950 · arxiv_version: 1711.06950v1 · doi: 10.48550/arxiv.1711.06950 · pith_short_12: Y3HTID4E44EJ · pith_short_16: Y3HTID4E44EJHDWT · pith_short_8: Y3HTID4E

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/Y3HTID4E44EJHDWT7X3T4WT5N6 \
  | 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: c6cf340f84e708938ed3fdf73e5a7d6fb715c70ff5a490db801b5b78c165b67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2672181eb1bfa98a4b89f4edc4136d9ff9e803622bf36e0b91cc9c8ba2e97a19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-19T01:49:53Z",
    "title_canon_sha256": "8c4900ff3e13a8433b680d55ef3f9825c3b9eab8c0641e74ef79169a55647a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06950",
    "kind": "arxiv",
    "version": 1
  }
}