Pith Number

pith:XZA723CV

pith:2010:XZA723CV2H6KUHDAIQ3LPR2M5F

not attested not anchored not stored refs pending

Towards a Generalisation of Noether's Theorem to Nonclassical Hopf-Galois Structures

Paul J. Truman

arxiv:1001.1639 v1 · 2010-01-11 · 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{XZA723CV2H6KUHDAIQ3LPR2M5F}

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	2026-05-18T04:06:08.220118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be41fd6c55d1fcaa1c604436b7c74ce97c0c659f0e03901a61b6ff4bc88a089d

Aliases

arxiv: 1001.1639 · arxiv_version: 1001.1639v1 · doi: 10.48550/arxiv.1001.1639 · pith_short_12: XZA723CV2H6K · pith_short_16: XZA723CV2H6KUHDA · pith_short_8: XZA723CV

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/XZA723CV2H6KUHDAIQ3LPR2M5F \
  | 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: be41fd6c55d1fcaa1c604436b7c74ce97c0c659f0e03901a61b6ff4bc88a089d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752db02241e61c5711f3b7a2f0fcc69fc61d61b6c5abcd6fe194e7dcddc50224",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-11T11:58:12Z",
    "title_canon_sha256": "7368f8b0981bbdcfab8eedb0372517de7ce55a0791eda7ea27f84151ac5eeafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1639",
    "kind": "arxiv",
    "version": 1
  }
}