Pith Number

pith:S2IQXBMG

pith:2012:S2IQXBMGJGL352PRMCXSAAYPIY

not attested not anchored not stored refs pending

Deforming endomorphisms of supersingular Barsotti-Tate groups

Benjamin Howard

arxiv:1202.6381 v1 · 2012-02-28 · 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{S2IQXBMGJGL352PRMCXSAAYPIY}

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	2026-05-18T04:01:12.717714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96910b85864997bee9f160af20030f460aee5087f9dfb7033291d1490a99d72b

Aliases

arxiv: 1202.6381 · arxiv_version: 1202.6381v1 · doi: 10.48550/arxiv.1202.6381 · pith_short_12: S2IQXBMGJGL3 · pith_short_16: S2IQXBMGJGL352PR · pith_short_8: S2IQXBMG

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/S2IQXBMGJGL352PRMCXSAAYPIY \
  | 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: 96910b85864997bee9f160af20030f460aee5087f9dfb7033291d1490a99d72b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9af340d3ea15708365e46afa83afa562fd69dac3ad899bc8910c2f48cce930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-28T21:18:09Z",
    "title_canon_sha256": "1cdadec399466ca8595c30116fcbbaa370a01f91b1aac2abf9a68134fe0f75bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6381",
    "kind": "arxiv",
    "version": 1
  }
}