Pith Number

pith:GLW2W5ON

pith:2010:GLW2W5ON6236UWUYD7DDRMNPHH

not attested not anchored not stored refs pending

Inverse Problems for deformation rings

Bart de Smit, Frauke M. Bleher, Ted Chinburg

arxiv:1012.1290 v3 · 2010-12-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLW2W5ON6236UWUYD7DDRMNPHH}

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	2026-05-18T03:14:30.660051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32edab75cdf6b7ea5a981fc638b1af39ce251547cc1e15540a63f34fe2976c1a

Aliases

arxiv: 1012.1290 · arxiv_version: 1012.1290v3 · doi: 10.48550/arxiv.1012.1290 · pith_short_12: GLW2W5ON6236 · pith_short_16: GLW2W5ON6236UWUY · pith_short_8: GLW2W5ON

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/GLW2W5ON6236UWUYD7DDRMNPHH \
  | 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: 32edab75cdf6b7ea5a981fc638b1af39ce251547cc1e15540a63f34fe2976c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f87b3c68e8946dafa82b24343ff334be29a7a64197735020851e5144d7e262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-06T19:23:45Z",
    "title_canon_sha256": "ad3238ba1d7c72ed782b1c104e11eff940b067a93c10114d55cbebd0db8bc700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1290",
    "kind": "arxiv",
    "version": 3
  }
}