Pith Number

pith:LHEBC7EM

pith:2017:LHEBC7EMK34FA72Y6KMLDPZQ5R

not attested not anchored not stored refs pending

Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties

Klaus Hulek, Orsola Tommasi, Samuel Grushevsky

arxiv:1702.06218 v1 · 2017-02-21 · 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{LHEBC7EMK34FA72Y6KMLDPZQ5R}

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	2026-05-18T00:50:14.708652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c8117c8c56f8507f58f298b1bf30ec51e956ab61a3e41fb4d10bc70e8d6196

Aliases

arxiv: 1702.06218 · arxiv_version: 1702.06218v1 · doi: 10.48550/arxiv.1702.06218 · pith_short_12: LHEBC7EMK34F · pith_short_16: LHEBC7EMK34FA72Y · pith_short_8: LHEBC7EM

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/LHEBC7EMK34FA72Y6KMLDPZQ5R \
  | 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: 59c8117c8c56f8507f58f298b1bf30ec51e956ab61a3e41fb4d10bc70e8d6196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7e0f1ff5325ceec916967e1066ea71e8c3a6ed83b22723215aaeea4462fdce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-21T00:04:47Z",
    "title_canon_sha256": "d63d5233281daf08589f87045fa0a16c70afb2e76b0f41219668a5bf6471ac36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06218",
    "kind": "arxiv",
    "version": 1
  }
}