Pith Number

pith:MR2MQIYK

pith:2012:MR2MQIYKTC6VWM3M76GIAMY4FR

not attested not anchored not stored refs pending

Notes on generalizations of local Ogus-Vologodsky correspondence

Atsushi Shiho

arxiv:1206.5907 v1 · 2012-06-26 · 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{MR2MQIYKTC6VWM3M76GIAMY4FR}

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	2026-05-18T03:52:37.751417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6474c8230a98bd5b336cff8c80331c2c5e8e1e3092bf020b6a1aedde01c238d4

Aliases

arxiv: 1206.5907 · arxiv_version: 1206.5907v1 · doi: 10.48550/arxiv.1206.5907 · pith_short_12: MR2MQIYKTC6V · pith_short_16: MR2MQIYKTC6VWM3M · pith_short_8: MR2MQIYK

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/MR2MQIYKTC6VWM3M76GIAMY4FR \
  | 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: 6474c8230a98bd5b336cff8c80331c2c5e8e1e3092bf020b6a1aedde01c238d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e75e275b5f1efa92b93d8b928420e39fd8590d8fde7fd61c9c0928666cfa384",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-26T07:57:47Z",
    "title_canon_sha256": "90272b7db3d361331e0953fda1bf346a74a4ccc0f4afff698604e7c3bfc02472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5907",
    "kind": "arxiv",
    "version": 1
  }
}