Pith Number

pith:O4WUIXV3

pith:2017:O4WUIXV3BC2FFJXBZBVMFRTARA

not attested not anchored not stored refs pending

Semistable fibrations over an elliptic curve with only one singular fibre

Abel Castorena, Gian Pietro Pirola, Margarida Mendes Lopes

arxiv:1707.08671 v2 · 2017-07-27 · 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{O4WUIXV3BC2FFJXBZBVMFRTARA}

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	2026-05-18T00:21:56.949448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772d445ebb08b452a6e1c86ac2c6608824966fd128764aba53fafafdba6955ba

Aliases

arxiv: 1707.08671 · arxiv_version: 1707.08671v2 · doi: 10.48550/arxiv.1707.08671 · pith_short_12: O4WUIXV3BC2F · pith_short_16: O4WUIXV3BC2FFJXB · pith_short_8: O4WUIXV3

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/O4WUIXV3BC2FFJXBZBVMFRTARA \
  | 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: 772d445ebb08b452a6e1c86ac2c6608824966fd128764aba53fafafdba6955ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b77faaa03b46a1672761b06dde2cf5c86f2b96cb3a9c1c389bf6b50b080f8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-27T00:16:37Z",
    "title_canon_sha256": "2aee3db0bde4e084c10f2a3ecc94c05e9ec9c86e22df365c77d033d119248efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08671",
    "kind": "arxiv",
    "version": 2
  }
}