Pith Number

pith:DJTVEWT2

pith:2026:DJTVEWT2YSH6EBZWKJEXOMG4BM

not attested not anchored not stored refs pending

Transversal Difference Numbers in Finite Abelian Quotients

George C. \c{T}urca\c{s}, Mugurel Barcau, Vicen\c{t}iu Pa\c{s}ol

arxiv:2606.27961 v1 · 2026-06-26 · math.NT · cs.CR · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJTVEWT2YSH6EBZWKJEXOMG4BM}

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	2026-06-29T01:14:53.848287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a67525a7ac48fe2073652497730dc0b0be8ac132e63870ae8736b983387c17c

Aliases

arxiv: 2606.27961 · arxiv_version: 2606.27961v1 · doi: 10.48550/arxiv.2606.27961 · pith_short_12: DJTVEWT2YSH6 · pith_short_16: DJTVEWT2YSH6EBZW · pith_short_8: DJTVEWT2

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/DJTVEWT2YSH6EBZWKJEXOMG4BM \
  | 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: 1a67525a7ac48fe2073652497730dc0b0be8ac132e63870ae8736b983387c17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51990e798fd69ef6d2c45fd53251f447793faa478e879b7efb5a36f65609ae8b",
    "cross_cats_sorted": [
      "cs.CR",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-26T11:03:47Z",
    "title_canon_sha256": "13ce721c69ce2fd2d3e4c784a308a57078e59a9ccaff4ca0780df6745b5c3eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27961",
    "kind": "arxiv",
    "version": 1
  }
}