Pith Number

pith:VIPCJSMP

pith:2010:VIPCJSMP634NOQEJD6QDWURBWU

not attested not anchored not stored refs pending

Flat Mittag-Leffler modules over countable rings

Jan Stovicek, Silvana Bazzoni

arxiv:1007.4977 v2 · 2010-07-28 · math.RA · 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{VIPCJSMP634NOQEJD6QDWURBWU}

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	2026-05-18T03:51:36.152105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1e24c98ff6f8d740891fa03b5221b51ea091af60ebee8381992ee1eaab988d

Aliases

arxiv: 1007.4977 · arxiv_version: 1007.4977v2 · doi: 10.48550/arxiv.1007.4977 · pith_short_12: VIPCJSMP634N · pith_short_16: VIPCJSMP634NOQEJ · pith_short_8: VIPCJSMP

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/VIPCJSMP634NOQEJD6QDWURBWU \
  | 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: aa1e24c98ff6f8d740891fa03b5221b51ea091af60ebee8381992ee1eaab988d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5658ded3180158444d4fe574f8523d49b269eb75c780e72154ed5a1fd358f560",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-07-28T13:53:21Z",
    "title_canon_sha256": "6322a826c93e893c604fe41721b2477eef59f4dea254aa93c3198e233c1ad9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4977",
    "kind": "arxiv",
    "version": 2
  }
}