Pith Number

pith:GP3MMCQB

pith:2024:GP3MMCQBTQ3MX6RUO3WWI2DB5F

not attested not anchored not stored refs pending

Strict comparison in reduced group $C^*$-algebras

David Gao, Gregory Patchell, Srivatsav Kunnawalkam Elayavalli, Tattwamasi Amrutam

arxiv:2412.06031 v4 · 2024-12-08 · math.OA · math.FA · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP3MMCQBTQ3MX6RUO3WWI2DB5F}

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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.

Cited by

3 papers in Pith

Strict comparison for twisted group C*-algebras

Nuclear C*-algebras: 99 problems

Characters of surface groups

Receipt and verification

First computed	2026-07-05T11:59:55.705888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f6c60a019c36cbfa3476ed646861e955d7388690104aacaa462d1ee026926b

Aliases

arxiv: 2412.06031 · arxiv_version: 2412.06031v4 · doi: 10.48550/arxiv.2412.06031 · pith_short_12: GP3MMCQBTQ3M · pith_short_16: GP3MMCQBTQ3MX6RU · pith_short_8: GP3MMCQB

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/GP3MMCQBTQ3MX6RUO3WWI2DB5F \
  | 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: 33f6c60a019c36cbfa3476ed646861e955d7388690104aacaa462d1ee026926b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e43cefadb8030b1a9fcf27232e9d325e0fffa18bbfb80a2f0fb48d8e0fc63a7",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR",
      "math.LO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-12-08T19:00:56Z",
    "title_canon_sha256": "4cc5cb7d31d013f3103b37f5468f3c04ac93b5bde709895bfb756555193e7e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.06031",
    "kind": "arxiv",
    "version": 4
  }
}