Pith Number

pith:MXFI7AWJ

pith:2015:MXFI7AWJYIA6VDDR5NMVUDXEWX

not attested not anchored not stored refs pending

Heights, ranks and regulators of abelian varieties

Fabien Pazuki

arxiv:1506.05165 v3 · 2015-06-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXFI7AWJYIA6VDDR5NMVUDXEWX}

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	2026-05-18T01:03:06.504218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65ca8f82c9c201ea8c71eb595a0ee4b5e8d695d0293a1205b91dada50d864e01

Aliases

arxiv: 1506.05165 · arxiv_version: 1506.05165v3 · doi: 10.48550/arxiv.1506.05165 · pith_short_12: MXFI7AWJYIA6 · pith_short_16: MXFI7AWJYIA6VDDR · pith_short_8: MXFI7AWJ

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/MXFI7AWJYIA6VDDR5NMVUDXEWX \
  | 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: 65ca8f82c9c201ea8c71eb595a0ee4b5e8d695d0293a1205b91dada50d864e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "387607374788818aabd8abbf4a0282c7d7bdc59d92410da8acc72d677dcc497f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-16T22:42:57Z",
    "title_canon_sha256": "146e3ff45c7cdd03cfb112ac7eb4cb76aa78d734a188a4ffd8a8d38c5665ac1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05165",
    "kind": "arxiv",
    "version": 3
  }
}