Pith Number

pith:VYNCXEI5

pith:2009:VYNCXEI5JRSYRZ5PKVAJAFYUCL

not attested not anchored not stored refs pending

Mild pro-2-groups and 2-extensions of Q with restricted ramification

Jan Minac, John Labute

arxiv:0903.4383 v2 · 2009-03-25 · math.NT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VYNCXEI5JRSYRZ5PKVAJAFYUCL}

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	2026-05-18T04:27:47.924987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1a2b911d4c6588e7af554090171412f47129d4ad98fc1e97b620b79af2d90c

Aliases

arxiv: 0903.4383 · arxiv_version: 0903.4383v2 · doi: 10.48550/arxiv.0903.4383 · pith_short_12: VYNCXEI5JRSY · pith_short_16: VYNCXEI5JRSYRZ5P · pith_short_8: VYNCXEI5

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/VYNCXEI5JRSYRZ5PKVAJAFYUCL \
  | 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: ae1a2b911d4c6588e7af554090171412f47129d4ad98fc1e97b620b79af2d90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a562958bcc09d450de2f949c1e5bf25bec4fa9c39a3e501a6792fab0fbb39249",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-25T18:51:04Z",
    "title_canon_sha256": "748ecab93d15a2aca1ef6f5a46138b2fca321312cbf09f6a521fa08452c50ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4383",
    "kind": "arxiv",
    "version": 2
  }
}