Pith Number

pith:SI5J3IG2

pith:2014:SI5J3IG2SM2FDANASZPIS6AKBU

not attested not anchored not stored refs pending

Upper ramification jumps in abelian extensions of exponent p

Ilaria Del Corso, Laura Capuano

arxiv:1407.2496 v1 · 2014-07-09 · 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{SI5J3IG2SM2FDANASZPIS6AKBU}

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	2026-05-18T02:48:01.433962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

923a9da0da93345181a0965e89780a0d3407481d1ae7d12b01859c1ec4d0f0f5

Aliases

arxiv: 1407.2496 · arxiv_version: 1407.2496v1 · doi: 10.48550/arxiv.1407.2496 · pith_short_12: SI5J3IG2SM2F · pith_short_16: SI5J3IG2SM2FDANA · pith_short_8: SI5J3IG2

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/SI5J3IG2SM2FDANASZPIS6AKBU \
  | 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: 923a9da0da93345181a0965e89780a0d3407481d1ae7d12b01859c1ec4d0f0f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745dca0ee5b3b0a18eb1616801ae3ea1bdd2f9006941e65e9c445e0238d297c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-09T14:34:58Z",
    "title_canon_sha256": "6017fb2a44fc21a8e5b2dedf2a113c979fac964f8ca8ea9762b8ad8ed81c3a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2496",
    "kind": "arxiv",
    "version": 1
  }
}