Pith Number

pith:YEHSVZSD

pith:2016:YEHSVZSD3E3PWGYCOE6H24N5EX

not attested not anchored not stored refs pending

Wach modules, regulator maps, and epsilon-isomorphisms in families

Otmar Venjakob, Rebecca Bellovin

arxiv:1610.09920 v2 · 2016-10-31 · 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{YEHSVZSD3E3PWGYCOE6H24N5EX}

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	2026-05-18T00:32:21.131435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c10f2ae643d936fb1b02713c7d71bd25daef9350cf0c125caeec6077ba8601d0

Aliases

arxiv: 1610.09920 · arxiv_version: 1610.09920v2 · doi: 10.48550/arxiv.1610.09920 · pith_short_12: YEHSVZSD3E3P · pith_short_16: YEHSVZSD3E3PWGYC · pith_short_8: YEHSVZSD

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/YEHSVZSD3E3PWGYCOE6H24N5EX \
  | 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: c10f2ae643d936fb1b02713c7d71bd25daef9350cf0c125caeec6077ba8601d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa1413f3d5617829ce8c31c568266de86b28ee97b2e8d6919713a4ed7b6ec49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-31T13:47:47Z",
    "title_canon_sha256": "4bf58156155d05552da057a3690a13454f6b62f880092a1459a1d604c454e847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09920",
    "kind": "arxiv",
    "version": 2
  }
}