Pith Number

pith:CUPWVENL

pith:2015:CUPWVENLIGZQZFHDHVYL42QDE6

not attested not anchored not stored refs pending

Irreduzible Komponenten von 2-adischen Deformationsr\"aumen

Maurice Babnik

arxiv:1512.09277 v1 · 2015-12-31 · 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{CUPWVENLIGZQZFHDHVYL42QDE6}

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.

Cited by

1 paper in Pith

On the modularity of 2-adic potentially semi-stable deformation rings

Receipt and verification

First computed	2026-05-18T01:23:32.776848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151f6a91ab41b30c94e33d70be6a0327b3cda84a4256e204552b54f5f57f4754

Aliases

arxiv: 1512.09277 · arxiv_version: 1512.09277v1 · doi: 10.48550/arxiv.1512.09277 · pith_short_12: CUPWVENLIGZQ · pith_short_16: CUPWVENLIGZQZFHD · pith_short_8: CUPWVENL

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/CUPWVENLIGZQZFHDHVYL42QDE6 \
  | 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: 151f6a91ab41b30c94e33d70be6a0327b3cda84a4256e204552b54f5f57f4754

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db79eeafff0947fc138a10b35458687df90125601857e460f382a6918edbe92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-31T13:08:09Z",
    "title_canon_sha256": "092edbaeef06a9b55fd3958e201fd87530fe109ed129455251d96d76708552df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09277",
    "kind": "arxiv",
    "version": 1
  }
}