Pith Number

pith:UDJJRKU5

pith:2014:UDJJRKU5DYYVKDH6RRI2G2YEVR

not attested not anchored not stored refs pending

Finiteness of unramified deformation rings

Frank Calegari, Patrick B. Allen

arxiv:1411.3759 v1 · 2014-11-13 · 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{UDJJRKU5DYYVKDH6RRI2G2YEVR}

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	2026-05-18T01:02:57.138335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0d298aa9d1e31550cfe8c51a36b04ac7abf1724e51cc3c616275ff676992ed9

Aliases

arxiv: 1411.3759 · arxiv_version: 1411.3759v1 · doi: 10.48550/arxiv.1411.3759 · pith_short_12: UDJJRKU5DYYV · pith_short_16: UDJJRKU5DYYVKDH6 · pith_short_8: UDJJRKU5

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/UDJJRKU5DYYVKDH6RRI2G2YEVR \
  | 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: a0d298aa9d1e31550cfe8c51a36b04ac7abf1724e51cc3c616275ff676992ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65cb29cce70bb78193b2db30c86f2e3fabd238d2f756e204a35d0ec990c28ab7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-13T22:37:58Z",
    "title_canon_sha256": "e7a9e567a6be38bc30acd1557d107f8c1fc0bef6f149ef28bb1016b019589d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3759",
    "kind": "arxiv",
    "version": 1
  }
}