Pith Number

pith:FGRDBMGK

pith:2026:FGRDBMGKGJ243IL2YMYJCGWCZW

not attested not anchored not stored refs pending

All mixed identities are singular in groups with no algebraicity

Michael Pinsker, Paolo Marimon

arxiv:2606.24741 v1 · 2026-06-23 · 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{FGRDBMGKGJ243IL2YMYJCGWCZW}

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	2026-06-24T01:15:40.702296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a230b0ca3275cda17ac330911ac2cda8e8db3d9db8d8488820457873768116

Aliases

arxiv: 2606.24741 · arxiv_version: 2606.24741v1 · doi: 10.48550/arxiv.2606.24741 · pith_short_12: FGRDBMGKGJ24 · pith_short_16: FGRDBMGKGJ243IL2 · pith_short_8: FGRDBMGK

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/FGRDBMGKGJ243IL2YMYJCGWCZW \
  | 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: 29a230b0ca3275cda17ac330911ac2cda8e8db3d9db8d8488820457873768116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc4b1f73e31f4e0a1b8b88bfec95d4ea8cb4a8713ece9e273cf0ce34177e569",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-23T16:05:34Z",
    "title_canon_sha256": "26df645e7293bb9a43cd18bd30c6384bcfa801fed321563b51aec4d84470a413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24741",
    "kind": "arxiv",
    "version": 1
  }
}