Pith Number

pith:7R45T3M6

pith:2019:7R45T3M6U6WUL5OP3R3W5HIVKD

not attested not anchored not stored refs pending

The ranks of alternating string C-groups

Mark Mixer

arxiv:1901.01646 v1 · 2019-01-07 · 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{7R45T3M6U6WUL5OP3R3W5HIVKD}

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	2026-05-17T23:56:51.550537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc79d9ed9ea7ad45f5cfdc776e9d1550f36ed38e8cb70625a6bb67e9c0b26405

Aliases

arxiv: 1901.01646 · arxiv_version: 1901.01646v1 · doi: 10.48550/arxiv.1901.01646 · pith_short_12: 7R45T3M6U6WU · pith_short_16: 7R45T3M6U6WUL5OP · pith_short_8: 7R45T3M6

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/7R45T3M6U6WUL5OP3R3W5HIVKD \
  | 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: fc79d9ed9ea7ad45f5cfdc776e9d1550f36ed38e8cb70625a6bb67e9c0b26405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e131ec8807283dc3b3cb9ffe418542745d943114662472153b0b74228f61d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-07T02:16:54Z",
    "title_canon_sha256": "c4d3cd9ff6500871e4569439ce47b4d927febbaddd9c7da48030cff9ef3e8918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01646",
    "kind": "arxiv",
    "version": 1
  }
}