Pith Number

pith:MYH4XMP7

pith:2017:MYH4XMP7R4DSLVXL4YV4PXDDPF

not attested not anchored not stored refs pending

Classifying Families of Character Degree Graphs of Solvable Groups

Jacob Laubacher, Mark W. Bissler

arxiv:1708.00119 v2 · 2017-08-01 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MYH4XMP7R4DSLVXL4YV4PXDDPF}

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	2026-05-18T00:21:04.801845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660fcbb1ff8f0725d6ebe62bc7dc63794e3f4bcd47b1e8c8ae31f3cca5739b3c

Aliases

arxiv: 1708.00119 · arxiv_version: 1708.00119v2 · doi: 10.48550/arxiv.1708.00119 · pith_short_12: MYH4XMP7R4DS · pith_short_16: MYH4XMP7R4DSLVXL · pith_short_8: MYH4XMP7

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/MYH4XMP7R4DSLVXL4YV4PXDDPF \
  | 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: 660fcbb1ff8f0725d6ebe62bc7dc63794e3f4bcd47b1e8c8ae31f3cca5739b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b65b5e0c49bd5c42468abc3267f4cbbd65fec545898fdcb90c8a7c085929f21",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-08-01T01:14:18Z",
    "title_canon_sha256": "b426f8a125ef87d9abfdce4fe1cc2b9608e6430e9593c0e4f0b8e7257c8ec08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00119",
    "kind": "arxiv",
    "version": 2
  }
}