Pith Number

pith:UL3JIIBV

pith:2009:UL3JIIBVIMJP5QSCCPK65VLZXW

not attested not anchored not stored refs pending

Higher-level canonical subgroups for p-divisible groups

Joseph Rabinoff

arxiv:0910.3323 v2 · 2009-10-17 · math.NT · 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{UL3JIIBVIMJP5QSCCPK65VLZXW}

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	2026-05-18T04:26:45.830416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f69420354312fec24213d5eed579bd9e205e34559b5d6ea3231283168eaa14

Aliases

arxiv: 0910.3323 · arxiv_version: 0910.3323v2 · doi: 10.48550/arxiv.0910.3323 · pith_short_12: UL3JIIBVIMJP · pith_short_16: UL3JIIBVIMJP5QSC · pith_short_8: UL3JIIBV

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/UL3JIIBVIMJP5QSCCPK65VLZXW \
  | 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: a2f69420354312fec24213d5eed579bd9e205e34559b5d6ea3231283168eaa14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adcfc67eef88007d524977bcb6626abb925ab23e82d116ead7614ce59be35de5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-17T19:30:15Z",
    "title_canon_sha256": "dd8abe05012be586469b86ec8c2122f80d9ac507ee7075bfdfe3950a4e5374fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3323",
    "kind": "arxiv",
    "version": 2
  }
}