Pith Number

pith:ZSM7U5M4

pith:2017:ZSM7U5M4VBC5LPJGBOJDMAJSLY

not attested not anchored not stored refs pending

Hopf Galois structures on symmetric and alternating extensions

Anna Rio, Montserrat Vela, Teresa Crespo

arxiv:1703.02600 v2 · 2017-03-07 · 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{ZSM7U5M4VBC5LPJGBOJDMAJSLY}

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	2026-05-18T00:21:01.436687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc99fa759ca845d5bd260b923601325e05c81277afd7acce27606520cf43607c

Aliases

arxiv: 1703.02600 · arxiv_version: 1703.02600v2 · doi: 10.48550/arxiv.1703.02600 · pith_short_12: ZSM7U5M4VBC5 · pith_short_16: ZSM7U5M4VBC5LPJG · pith_short_8: ZSM7U5M4

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/ZSM7U5M4VBC5LPJGBOJDMAJSLY \
  | 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: cc99fa759ca845d5bd260b923601325e05c81277afd7acce27606520cf43607c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457d0764ef623aa87912d83cf2f1979337f60585462da52cec6bead066aa8ee3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-07T21:23:46Z",
    "title_canon_sha256": "7abfbff86d1e0daed31294a1b53abf1aeb339896e0bc62b7e1daf7c7b80f06e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02600",
    "kind": "arxiv",
    "version": 2
  }
}