Pith Number

pith:5S7M7CHS

pith:2015:5S7M7CHSIN6JR7XERNNTTFYWGF

not attested not anchored not stored refs pending

Quantifying separability in virtually special groups

Mark F. Hagen, Priyam Patel

arxiv:1501.07001 v2 · 2015-01-28 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S7M7CHSIN6JR7XERNNTTFYWGF}

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	2026-05-18T01:10:10.858888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecbecf88f2437c98fee48b5b3997163149006abf88cfa1b34c0b6fb82f68d8df

Aliases

arxiv: 1501.07001 · arxiv_version: 1501.07001v2 · doi: 10.48550/arxiv.1501.07001 · pith_short_12: 5S7M7CHSIN6J · pith_short_16: 5S7M7CHSIN6JR7XE · pith_short_8: 5S7M7CHS

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/5S7M7CHSIN6JR7XERNNTTFYWGF \
  | 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: ecbecf88f2437c98fee48b5b3997163149006abf88cfa1b34c0b6fb82f68d8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff7ccb7a144a2fbf8d19d5009b2a91c63ca6fca5172c0433b9351ab7815a7b8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-28T06:32:54Z",
    "title_canon_sha256": "3b20d84bc698821c0a2ef2a940aa173a3be64ff59c219392abe002b41b42671c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07001",
    "kind": "arxiv",
    "version": 2
  }
}