Pith Number

pith:ZX5374P3

pith:2017:ZX5374P32YRYXD725HSAOFJ45L

not attested not anchored not stored refs pending

Arithmetic monodromy actions on pro-metabelian fundamental groups of once-punctured elliptic curves

Pierre Deligne, William Yun Chen

arxiv:1710.05532 v1 · 2017-10-16 · math.AG · math.GR · 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{ZX5374P32YRYXD725HSAOFJ45L}

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	2026-05-18T00:32:49.037841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfbbff1fbd6238b8ffae9e407153ceafaab0c3f64f8c3c2253749e323f89e11

Aliases

arxiv: 1710.05532 · arxiv_version: 1710.05532v1 · doi: 10.48550/arxiv.1710.05532 · pith_short_12: ZX5374P32YRY · pith_short_16: ZX5374P32YRYXD72 · pith_short_8: ZX5374P3

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/ZX5374P32YRYXD725HSAOFJ45L \
  | 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: cdfbbff1fbd6238b8ffae9e407153ceafaab0c3f64f8c3c2253749e323f89e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d5bc976b9904dba608ff674b72442d5a865fbbedb94647d81767693b9aef20",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-16T06:40:02Z",
    "title_canon_sha256": "77f9743ae33831672deb177684de03142062893e23c0972797cdb6118c90530a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05532",
    "kind": "arxiv",
    "version": 1
  }
}