Pith Number

pith:W6WPIU4U

pith:2013:W6WPIU4URJX4DLRGUVLHFWGWEE

not attested not anchored not stored refs pending

Algebraic dynamical systems and Dirichlet's unit theorem on arithmetic varieties

Atsushi Moriwaki, Huayi Chen

arxiv:1312.3528 v4 · 2013-12-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6WPIU4URJX4DLRGUVLHFWGWEE}

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	2026-05-18T02:58:21.466329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7acf453948a6fc1ae26a55672d8d621373af90b15dec995b3e972a6f1c08d09

Aliases

arxiv: 1312.3528 · arxiv_version: 1312.3528v4 · doi: 10.48550/arxiv.1312.3528 · pith_short_12: W6WPIU4URJX4 · pith_short_16: W6WPIU4URJX4DLRG · pith_short_8: W6WPIU4U

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/W6WPIU4URJX4DLRGUVLHFWGWEE \
  | 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: b7acf453948a6fc1ae26a55672d8d621373af90b15dec995b3e972a6f1c08d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682f925eb34c7983b338824fec596b3802ace5f2626cf793c501e40e856c7ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-12T15:48:48Z",
    "title_canon_sha256": "f0f1cb27f1c3a38f44bfe44c50e2277a1cdd42b2979339f0ca4317e31c085187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3528",
    "kind": "arxiv",
    "version": 4
  }
}