Pith Number

pith:M4EQLPOF

pith:2016:M4EQLPOFVGPRV2H6GZC43NAY3E

not attested not anchored not stored refs pending

Classifying Virtually Special Tubular Groups

Daniel J. Woodhouse

arxiv:1607.06334 v1 · 2016-07-21 · 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{M4EQLPOFVGPRV2H6GZC43NAY3E}

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	2026-05-18T01:10:42.014818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670905bdc5a99f1ae8fe3645cdb418d90267c139db7301cd30d969ea96c17f71

Aliases

arxiv: 1607.06334 · arxiv_version: 1607.06334v1 · doi: 10.48550/arxiv.1607.06334 · pith_short_12: M4EQLPOFVGPR · pith_short_16: M4EQLPOFVGPRV2H6 · pith_short_8: M4EQLPOF

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/M4EQLPOFVGPRV2H6GZC43NAY3E \
  | 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: 670905bdc5a99f1ae8fe3645cdb418d90267c139db7301cd30d969ea96c17f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc59658583541e128dae237b5dce8d9c505321e42f37bcafe1b6532ce5f1d749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-07-21T14:21:55Z",
    "title_canon_sha256": "3f899f214ba89db0d6897abeb4d0e3a26af6cfcdca52b882a44318c898747e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06334",
    "kind": "arxiv",
    "version": 1
  }
}