Pith Number

pith:VLJSBPS2

pith:2026:VLJSBPS2NMPJ6HQR4JMVEVMH3U

not attested not anchored not stored refs pending

Some results on NIP groups and their Ellis groups

Atticus Stonestrom

arxiv:2607.26265 v1 · 2026-07-28 · math.LO · math.DS · 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{VLJSBPS2NMPJ6HQR4JMVEVMH3U}

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	2026-07-30T01:17:52.130158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

aad320be5a6b1e9f1e11e259525587dd00e4651ff654cab07f2ad73f701d87d2

Aliases

arxiv: 2607.26265 · arxiv_version: 2607.26265v1 · doi: 10.48550/arxiv.2607.26265 · pith_short_12: VLJSBPS2NMPJ · pith_short_16: VLJSBPS2NMPJ6HQR · pith_short_8: VLJSBPS2

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/VLJSBPS2NMPJ6HQR4JMVEVMH3U \
  | 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: aad320be5a6b1e9f1e11e259525587dd00e4651ff654cab07f2ad73f701d87d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5176c3b945bacef9b551f38895af41e1dfe068478a5758f69ca05e8d03532a17",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-28T20:53:07Z",
    "title_canon_sha256": "fd5d486746b77647a3e0564467e2b11c481d2b651943dedc001be97db34ed0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26265",
    "kind": "arxiv",
    "version": 1
  }
}