Pith Number

pith:3TTZR7DS

pith:2015:3TTZR7DSCHGLGOGGTW3SPGNZWO

not attested not anchored not stored refs pending

The essentially chief series of a compactly generated locally compact group

Colin D. Reid, Phillip R. Wesolek

arxiv:1509.06593 v5 · 2015-09-22 · 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{3TTZR7DSCHGLGOGGTW3SPGNZWO}

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	2026-05-18T00:35:05.683630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dce798fc7211ccb338c69db72799b9b3b3658532c1c6914ef8446acc01aea8b5

Aliases

arxiv: 1509.06593 · arxiv_version: 1509.06593v5 · doi: 10.48550/arxiv.1509.06593 · pith_short_12: 3TTZR7DSCHGL · pith_short_16: 3TTZR7DSCHGLGOGG · pith_short_8: 3TTZR7DS

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/3TTZR7DSCHGLGOGGTW3SPGNZWO \
  | 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: dce798fc7211ccb338c69db72799b9b3b3658532c1c6914ef8446acc01aea8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f934c87f7d50728ad3f2e5edda0561044114d002bcb7d79e1e43c59d07843b5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-22T13:32:25Z",
    "title_canon_sha256": "361c905b76ccd42b61e790c9ea7fbc8a246d10579e928f352bd6dfb2be41b086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06593",
    "kind": "arxiv",
    "version": 5
  }
}