Pith Number

pith:XMZ3FWDD

pith:2012:XMZ3FWDD2ZLUWGBBHJIJ5PUAEX

not attested not anchored not stored refs pending

(\phi,\Gamma)-modules over noncommutative overconvergent and Robba rings

Gergely Z\'abr\'adi

arxiv:1208.3347 v2 · 2012-08-16 · math.RT · 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{XMZ3FWDD2ZLUWGBBHJIJ5PUAEX}

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	2026-05-18T02:51:08.773337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb33b2d863d6574b18213a509ebe8025ce72a6941bbf20d299f0422ef1c9f987

Aliases

arxiv: 1208.3347 · arxiv_version: 1208.3347v2 · doi: 10.48550/arxiv.1208.3347 · pith_short_12: XMZ3FWDD2ZLU · pith_short_16: XMZ3FWDD2ZLUWGBB · pith_short_8: XMZ3FWDD

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/XMZ3FWDD2ZLUWGBBHJIJ5PUAEX \
  | 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: bb33b2d863d6574b18213a509ebe8025ce72a6941bbf20d299f0422ef1c9f987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2e191a0ab6fbb19b3cf2760b624205f13a6e8bc20eed22550171a92dc05c325",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-16T12:05:11Z",
    "title_canon_sha256": "2d7957929a2692a57bed75787188b770a1e168531e815993ca4adfdf88654913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3347",
    "kind": "arxiv",
    "version": 2
  }
}