Pith Number

pith:TJZQ37P5

pith:2015:TJZQ37P5GSTKXVSWAJI22FGQNK

not attested not anchored not stored refs pending

Homomorphisms into totally disconnected, locally compact groups with dense image

Colin D. Reid, Phillip R. Wesolek

arxiv:1509.00156 v2 · 2015-09-01 · 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{TJZQ37P5GSTKXVSWAJI22FGQNK}

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	2026-05-18T00:26:52.143607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a730dfdfd34a6abd6560251ad14d06aa5cbab05417467626f9e7babcd5a7a84

Aliases

arxiv: 1509.00156 · arxiv_version: 1509.00156v2 · doi: 10.48550/arxiv.1509.00156 · pith_short_12: TJZQ37P5GSTK · pith_short_16: TJZQ37P5GSTKXVSW · pith_short_8: TJZQ37P5

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/TJZQ37P5GSTKXVSWAJI22FGQNK \
  | 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: 9a730dfdfd34a6abd6560251ad14d06aa5cbab05417467626f9e7babcd5a7a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9445d204840b481fb691d7b3b5d1bf167c9e9fc819d7c19b4ea7f71e6c0ed587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-01T06:34:42Z",
    "title_canon_sha256": "e535e186f305490b4978d755291694f40fd1911905296145fd7e1570c576ab0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00156",
    "kind": "arxiv",
    "version": 2
  }
}