Pith Number

pith:FFAKBDQ4

pith:2015:FFAKBDQ4HBDXKXHLSGCMH5U4F5

not attested not anchored not stored refs pending

Jordan groups, conic bundles and abelian varieties

Tatiana Bandman, Yuri G. Zarhin

arxiv:1512.01744 v4 · 2015-12-06 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFAKBDQ4HBDXKXHLSGCMH5U4F5}

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	2026-05-18T01:11:35.155833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2940a08e1c3847755ceb9184c3f69c2f749479a8da33aed65123eb7bafd1ef72

Aliases

arxiv: 1512.01744 · arxiv_version: 1512.01744v4 · doi: 10.48550/arxiv.1512.01744 · pith_short_12: FFAKBDQ4HBDX · pith_short_16: FFAKBDQ4HBDXKXHL · pith_short_8: FFAKBDQ4

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/FFAKBDQ4HBDXKXHLSGCMH5U4F5 \
  | 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: 2940a08e1c3847755ceb9184c3f69c2f749479a8da33aed65123eb7bafd1ef72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d23750c5d899789ad53e01b0e4aecf281a6bdc546e8df915999e012e6c6368",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-06T05:52:38Z",
    "title_canon_sha256": "a725dedaf81a6ef47c11703068135e26f0519e45399897de014519cc5186e41a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01744",
    "kind": "arxiv",
    "version": 4
  }
}