Pith Number

pith:TRLMJFFF

pith:2026:TRLMJFFFQB4LN4JJIXPRXE2W4X

not attested not anchored not stored refs pending

A global girth obstruction for Garg--Mineyev taiko product structures

Henry Shin

arxiv:2607.01716 v1 · 2026-07-02 · math.CO · 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{TRLMJFFFQB4LN4JJIXPRXE2W4X}

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	2026-07-03T01:17:27.674889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c56c494a58078b6f12945df1b9356e5cf6f980296dd1348535f3a708cd52e9d

Aliases

arxiv: 2607.01716 · arxiv_version: 2607.01716v1 · doi: 10.48550/arxiv.2607.01716 · pith_short_12: TRLMJFFFQB4L · pith_short_16: TRLMJFFFQB4LN4JJ · pith_short_8: TRLMJFFF

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/TRLMJFFFQB4LN4JJIXPRXE2W4X \
  | 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: 9c56c494a58078b6f12945df1b9356e5cf6f980296dd1348535f3a708cd52e9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcdc4b36f290911b6818cb86d53c9cd255b0537092507d926a5c69fdb82cd2b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-02T05:12:14Z",
    "title_canon_sha256": "76ef5f73daf10e8d1fe8d634e41d6b65d91295d3b74f15e142787836c57a73f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01716",
    "kind": "arxiv",
    "version": 1
  }
}