Pith Number

pith:TCDFNKHT

pith:2014:TCDFNKHTNC7AJT2WTSA5CAMS6Y

not attested not anchored not stored refs pending

Integrals on $p$-adic upper half planes and Hida families over totally real fields

Isao Ishikawa

arxiv:1409.8584 v2 · 2014-09-30 · 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{TCDFNKHTNC7AJT2WTSA5CAMS6Y}

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	2026-05-18T01:17:05.573581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988656a8f368be04cf569c81d10192f63acc82652a25efc78104532941a61b52

Aliases

arxiv: 1409.8584 · arxiv_version: 1409.8584v2 · doi: 10.48550/arxiv.1409.8584 · pith_short_12: TCDFNKHTNC7A · pith_short_16: TCDFNKHTNC7AJT2W · pith_short_8: TCDFNKHT

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/TCDFNKHTNC7AJT2WTSA5CAMS6Y \
  | 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: 988656a8f368be04cf569c81d10192f63acc82652a25efc78104532941a61b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d5090b64866064769e70883e11068a86aa1799f9ae83c688efdfc4801d9438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-30T15:11:51Z",
    "title_canon_sha256": "0a3a2be9bf8b2bd4f2072634344c77bd3d9badbf066df3c5ba3278249e361fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8584",
    "kind": "arxiv",
    "version": 2
  }
}