Pith Number

pith:4RRRYUGG

pith:2016:4RRRYUGGDTKAGHJOTI2JPBFXTM

not attested not anchored not stored refs pending

Torsion points and height jumping in higher-dimensional families of abelian varieties

David Holmes

arxiv:1604.04563 v1 · 2016-04-15 · 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{4RRRYUGGDTKAGHJOTI2JPBFXTM}

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	2026-05-18T01:17:01.850852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4631c50c61cd4031d2e9a349784b79b3b586d83c5cf5df23752fddda92a6025

Aliases

arxiv: 1604.04563 · arxiv_version: 1604.04563v1 · doi: 10.48550/arxiv.1604.04563 · pith_short_12: 4RRRYUGGDTKA · pith_short_16: 4RRRYUGGDTKAGHJO · pith_short_8: 4RRRYUGG

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/4RRRYUGGDTKAGHJOTI2JPBFXTM \
  | 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: e4631c50c61cd4031d2e9a349784b79b3b586d83c5cf5df23752fddda92a6025

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9870cd47b327dbd3fc4b38c53d92e141e3a1240b85c6e52bcf1774272c2906",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-15T16:43:55Z",
    "title_canon_sha256": "c4f43f0aafbc324c2a29082a47505f29016201d813933c941c0a4666f4a3a149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04563",
    "kind": "arxiv",
    "version": 1
  }
}