Pith Number

pith:5AMTT2DQ

pith:2010:5AMTT2DQB4IX3IZ3LM3HULQLN5

not attested not anchored not stored refs pending

Subcategories of extension modules by Serre subcategories

Takeshi Yoshizawa

arxiv:1011.0376 v2 · 2010-11-01 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AMTT2DQB4IX3IZ3LM3HULQLN5}

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	2026-05-18T04:27:16.139861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81939e8700f117da33b5b367a2e0b6f60ec60b7d0a2fbe5236f62b190cad496

Aliases

arxiv: 1011.0376 · arxiv_version: 1011.0376v2 · doi: 10.48550/arxiv.1011.0376 · pith_short_12: 5AMTT2DQB4IX · pith_short_16: 5AMTT2DQB4IX3IZ3 · pith_short_8: 5AMTT2DQ

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/5AMTT2DQB4IX3IZ3LM3HULQLN5 \
  | 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: e81939e8700f117da33b5b367a2e0b6f60ec60b7d0a2fbe5236f62b190cad496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d92d2d5e5271212f40367479cbc85a5439aa9d51b2c861e6a3ad7f9ccc101b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-11-01T16:40:54Z",
    "title_canon_sha256": "6e466ddc01e5d43fb7e7f2b28b0bb338f9e78711ce6a7c514938ce5d9b8bf719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0376",
    "kind": "arxiv",
    "version": 2
  }
}