Pith Number

pith:NWYDFKYQ

pith:2015:NWYDFKYQJHOC2UK25PECQ7PQMU

not attested not anchored not stored refs pending

Overconvergent modular forms and perfectoid Shimura curves

Christian Johansson, David Hansen, Przemyslaw Chojecki

arxiv:1507.04875 v2 · 2015-07-17 · 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{NWYDFKYQJHOC2UK25PECQ7PQMU}

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	2026-05-18T01:08:26.536736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db032ab1049dc2d515aebc8287df0653e072dfeaa7fc8b637478b830cc83395

Aliases

arxiv: 1507.04875 · arxiv_version: 1507.04875v2 · doi: 10.48550/arxiv.1507.04875 · pith_short_12: NWYDFKYQJHOC · pith_short_16: NWYDFKYQJHOC2UK2 · pith_short_8: NWYDFKYQ

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/NWYDFKYQJHOC2UK25PECQ7PQMU \
  | 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: 6db032ab1049dc2d515aebc8287df0653e072dfeaa7fc8b637478b830cc83395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba73fa3bacff55a173ac954ab1eb14fbeaada6b9c033387473efdf84a14b6ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-17T08:34:29Z",
    "title_canon_sha256": "96e7752bfe1b33063d90f95ccb5301ee32ee56573ea4ad4bc1f70404926a6c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04875",
    "kind": "arxiv",
    "version": 2
  }
}