Pith Number

pith:4SY6V5GA

pith:2011:4SY6V5GAP7HYMLKMNBRKEB6TEO

not attested not anchored not stored refs pending

On Subvarieties of Abelian Varieties with degenerate Gauss mapping

Rainer Weissauer

arxiv:1110.0095 v3 · 2011-10-01 · 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{4SY6V5GAP7HYMLKMNBRKEB6TEO}

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	2026-05-18T01:55:58.562543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b1eaf4c07fcf862d4c6862a207d32393c9c163ae553cf51c4b52d6be5f6637

Aliases

arxiv: 1110.0095 · arxiv_version: 1110.0095v3 · doi: 10.48550/arxiv.1110.0095 · pith_short_12: 4SY6V5GAP7HY · pith_short_16: 4SY6V5GAP7HYMLKM · pith_short_8: 4SY6V5GA

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/4SY6V5GAP7HYMLKMNBRKEB6TEO \
  | 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: e4b1eaf4c07fcf862d4c6862a207d32393c9c163ae553cf51c4b52d6be5f6637

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "704add09f88054e2d5a006534ba6d14c78015dd68a1c2e2a084a928833f7e5a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-01T12:01:54Z",
    "title_canon_sha256": "cbcd54fad79afd24924b520bce408301b5626a1938dbc1c4276098e1a47f66fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0095",
    "kind": "arxiv",
    "version": 3
  }
}