Pith Number

pith:F2G3QPGD

pith:2017:F2G3QPGDCD7U3XALWFOA3CFNS5

not attested not anchored not stored refs pending

The Structure of Hopf Algebras Acting on Dihedral Extensions

Alan Koch, Paul J. Truman, Robert Underwood, Timothy Kohl

arxiv:1708.09822 v4 · 2017-08-31 · 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{F2G3QPGDCD7U3XALWFOA3CFNS5}

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	2026-05-17T23:50:42.932676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8db83cc310ff4ddc0bb15c0d88ad9776f550df5d03ee9959eb4ea1c90b62d2

Aliases

arxiv: 1708.09822 · arxiv_version: 1708.09822v4 · doi: 10.48550/arxiv.1708.09822 · pith_short_12: F2G3QPGDCD7U · pith_short_16: F2G3QPGDCD7U3XAL · pith_short_8: F2G3QPGD

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/F2G3QPGDCD7U3XALWFOA3CFNS5 \
  | 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: 2e8db83cc310ff4ddc0bb15c0d88ad9776f550df5d03ee9959eb4ea1c90b62d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d525635d05dce5252a57a78ffd61bb376311212a55ea16773254b9e072860f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-31T17:13:00Z",
    "title_canon_sha256": "d6407258a3702660acf349507f4d3e7b87a2a5d57aae967f3d62f5bfbfe767a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09822",
    "kind": "arxiv",
    "version": 4
  }
}