Pith Number

pith:QGQ3A6AD

pith:2011:QGQ3A6ADJIHJ7BASTSOZBPCCMZ

not attested not anchored not stored refs pending

Galois Extensions of Height-One Commuting Dynamical Systems

Ghassan Sarkis, Joel Specter

arxiv:1102.0568 v1 · 2011-02-02 · 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{QGQ3A6ADJIHJ7BASTSOZBPCCMZ}

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	2026-05-18T04:30:04.419607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a1b078034a0e9f84129c9d90bc42666cf64ee09ee1e0a989b37917f0bfc49e

Aliases

arxiv: 1102.0568 · arxiv_version: 1102.0568v1 · doi: 10.48550/arxiv.1102.0568 · pith_short_12: QGQ3A6ADJIHJ · pith_short_16: QGQ3A6ADJIHJ7BAS · pith_short_8: QGQ3A6AD

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/QGQ3A6ADJIHJ7BASTSOZBPCCMZ \
  | 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: 81a1b078034a0e9f84129c9d90bc42666cf64ee09ee1e0a989b37917f0bfc49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cd9777105f78e38e99ed5bb52db99d78846dbecd5c354ec837ae7402282e44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-02T21:12:09Z",
    "title_canon_sha256": "418fc01dfd0f3510f87846a2a1f71dc973988795de111526a2808a04a652e1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0568",
    "kind": "arxiv",
    "version": 1
  }
}