Pith Number

pith:TZ6XUQKV

pith:2015:TZ6XUQKV6F6WH2A6GX4AOP4MHQ

not attested not anchored not stored refs pending

Galois Representations Associated to $p$-adic Families of Modular Forms of Finite Slope

Tomoki Mihara

arxiv:1504.04728 v1 · 2015-04-18 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ6XUQKV6F6WH2A6GX4AOP4MHQ}

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

Schneider--Teitelbaum Duality over a Non-spherically Complete Field

Receipt and verification

First computed	2026-05-18T02:18:24.981225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7d7a4155f17d63e81e35f8073f8c3c2715cb7198ba26ed88f7d9b9362edc2f

Aliases

arxiv: 1504.04728 · arxiv_version: 1504.04728v1 · doi: 10.48550/arxiv.1504.04728 · pith_short_12: TZ6XUQKV6F6W · pith_short_16: TZ6XUQKV6F6WH2A6 · pith_short_8: TZ6XUQKV

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/TZ6XUQKV6F6WH2A6GX4AOP4MHQ \
  | 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: 9e7d7a4155f17d63e81e35f8073f8c3c2715cb7198ba26ed88f7d9b9362edc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbeb6aafc49fc58c744a01a415a42c9fa514feee5408763e31b4a26cb123a6a",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-18T14:54:15Z",
    "title_canon_sha256": "f4d69a655156452cd6420958ab8350f3916fc1457d7648d035b9d696e2194bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04728",
    "kind": "arxiv",
    "version": 1
  }
}