Pith Number

pith:NRFWE3E6

pith:2012:NRFWE3E6EU54BA56TZTSDSMXXX

not attested not anchored not stored refs pending

On the stratification by $X$-ranks of a linearly normal elliptic curve $X\subset \mathbb {P}^n$

Edoardo Ballico

arxiv:1210.7444 v2 · 2012-10-28 · 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{NRFWE3E6EU54BA56TZTSDSMXXX}

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	2026-05-18T03:04:49.846920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c4b626c9e253bc083be9e6721c997bdf9c6500e0a1c3084e6ea53508ab1c75c

Aliases

arxiv: 1210.7444 · arxiv_version: 1210.7444v2 · doi: 10.48550/arxiv.1210.7444 · pith_short_12: NRFWE3E6EU54 · pith_short_16: NRFWE3E6EU54BA56 · pith_short_8: NRFWE3E6

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/NRFWE3E6EU54BA56TZTSDSMXXX \
  | 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: 6c4b626c9e253bc083be9e6721c997bdf9c6500e0a1c3084e6ea53508ab1c75c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6e4f9b5bd4e45e807e8a1247c7794a1f3169ee9d7e3cd3ae25234a256b94cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-28T11:35:08Z",
    "title_canon_sha256": "5664517e01d42e6f8c7a4f800b50fe9e9daebb49373de09704a719e53ab4f530"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7444",
    "kind": "arxiv",
    "version": 2
  }
}