Pith Number

pith:P5YBFUCB

pith:2014:P5YBFUCB6AH5STK4FIOZKBCEI7

not attested not anchored not stored refs pending

Characteristic ideals and Selmer groups

Andrea Bandini, Francesc Bars, Ignazio Longhi

arxiv:1404.2788 v2 · 2014-04-10 · 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{P5YBFUCB6AH5STK4FIOZKBCEI7}

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	2026-05-18T02:47:15.426067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f7012d041f00fd94d5c2a1d95044447e4ee796f3ba5355581e99c8ad8cccdfe

Aliases

arxiv: 1404.2788 · arxiv_version: 1404.2788v2 · doi: 10.48550/arxiv.1404.2788 · pith_short_12: P5YBFUCB6AH5 · pith_short_16: P5YBFUCB6AH5STK4 · pith_short_8: P5YBFUCB

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/P5YBFUCB6AH5STK4FIOZKBCEI7 \
  | 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: 7f7012d041f00fd94d5c2a1d95044447e4ee796f3ba5355581e99c8ad8cccdfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4748dc4f0f21922f4ee0bd07bcaf66e77c8a31f77371ce8d19ae9a8b121af2ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-10T13:04:52Z",
    "title_canon_sha256": "1c804a698027ac4fef09a20b6390f1e6f2fe49d3528843a3b71f9ce16722867d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2788",
    "kind": "arxiv",
    "version": 2
  }
}