Pith Number

pith:PMNHBQVE

pith:2026:PMNHBQVEPS2CKUOYSLIQ3W6FYB

not attested not anchored not stored refs pending

Matrix entries, unipotents, and linearity of amalgams

Konstantinos Tsouvalas, Sami Douba

arxiv:2603.23969 v2 · 2026-03-25 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMNHBQVEPS2CKUOYSLIQ3W6FYB}

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.

Cited by

2 papers in Pith

Virtual specialness of the double

Receipt and verification

First computed	2026-08-03T01:14:51.890232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b1a70c2a47cb42551d892d10ddbc5c072432276d44eaa23a64c252826433ea9

Aliases

arxiv: 2603.23969 · arxiv_version: 2603.23969v2 · doi: 10.48550/arxiv.2603.23969 · pith_short_12: PMNHBQVEPS2C · pith_short_16: PMNHBQVEPS2CKUOY · pith_short_8: PMNHBQVE

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/PMNHBQVEPS2CKUOYSLIQ3W6FYB \
  | 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: 7b1a70c2a47cb42551d892d10ddbc5c072432276d44eaa23a64c252826433ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd52fa93410ea35c7b01afaf3a7b46ab59c17ac9fa3eb960b1d9de469cdfef00",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-03-25T06:03:58Z",
    "title_canon_sha256": "642a0d04c68316ef0ccf1b22b8271e68eee911c26f5311f15f06d7854e1031f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.23969",
    "kind": "arxiv",
    "version": 2
  }
}