Pith Number

pith:U5PG2MLY

pith:2011:U5PG2MLYPZYRB2GUWJNIL3AMP2

not attested not anchored not stored refs pending

A Superficial Working Guide to Deformations and Moduli

Fabrizio Catanese

arxiv:1106.1368 v3 · 2011-06-07 · 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{U5PG2MLYPZYRB2GUWJNIL3AMP2}

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	2026-05-18T04:05:38.666226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75e6d31787e7110e8d4b25a85ec0c7e8e11bf22c50cde056720e70091cbc4b2

Aliases

arxiv: 1106.1368 · arxiv_version: 1106.1368v3 · doi: 10.48550/arxiv.1106.1368 · pith_short_12: U5PG2MLYPZYR · pith_short_16: U5PG2MLYPZYRB2GU · pith_short_8: U5PG2MLY

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/U5PG2MLYPZYRB2GUWJNIL3AMP2 \
  | 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: a75e6d31787e7110e8d4b25a85ec0c7e8e11bf22c50cde056720e70091cbc4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ab7678c9bacf53d49eb278352bfc56ac98e22e9578f4ddf94a197e7dfd730f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-07T14:57:35Z",
    "title_canon_sha256": "16637a6736de97a485efa4fc0ac6501d309f994deeb1f309a2e8b42a746af92d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1368",
    "kind": "arxiv",
    "version": 3
  }
}