Pith Number

pith:6W7UHM5V

pith:2014:6W7UHM5V5OS62ZDM6VSPGQBSKX

not attested not anchored not stored refs pending

Presentations for quaternionic $S$-unit groups

Bhairav Singh, Holley Friedlander, Matthew Stover, Michiel Kosters, Paul Ziegler, Sean Howe, Ted Chinburg, Ying Zhang

arxiv:1404.6091 v1 · 2014-04-24 · math.NT · math.GR · math.GT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6W7UHM5V5OS62ZDM6VSPGQBSKX}

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	2026-05-18T01:33:57.085880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5bf43b3b5eba5ed646cf564f3403255f306c591efbb90dce5be6cc082bb1edc

Aliases

arxiv: 1404.6091 · arxiv_version: 1404.6091v1 · doi: 10.48550/arxiv.1404.6091 · pith_short_12: 6W7UHM5V5OS6 · pith_short_16: 6W7UHM5V5OS62ZDM · pith_short_8: 6W7UHM5V

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/6W7UHM5V5OS62ZDM6VSPGQBSKX \
  | 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: f5bf43b3b5eba5ed646cf564f3403255f306c591efbb90dce5be6cc082bb1edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678181fd639a8b7ba2e4d9f65adcd099547d8828c9e6a26097f1e55815ac4d26",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-24T11:23:50Z",
    "title_canon_sha256": "2fd7b398734ded595162c1546bd3794bf1e6319890f9fa4dc01378d9f3edbd82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6091",
    "kind": "arxiv",
    "version": 1
  }
}