Pith Number

pith:GQ47ABZE

pith:2026:GQ47ABZEDLGPTED4ILHP6LB4B4

not attested not anchored not stored refs pending

Complete invariants for simultaneous similarity

Klaus Bongartz, Shmuel Friedland

arxiv:2601.00379 v2 · 2026-01-01 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQ47ABZEDLGPTED4ILHP6LB4B4}

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

1 paper in Pith

Degeneration order of $3\times 3$ nilpotent matrix tuples

Receipt and verification

First computed	2026-05-20T00:00:31.514504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3439f007241accf9907c42ceff2c3c0f2c13e298f5f3d841e1c22200c6305fd7

Aliases

arxiv: 2601.00379 · arxiv_version: 2601.00379v2 · doi: 10.48550/arxiv.2601.00379 · pith_short_12: GQ47ABZEDLGP · pith_short_16: GQ47ABZEDLGPTED4 · pith_short_8: GQ47ABZE

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/GQ47ABZEDLGPTED4ILHP6LB4B4 \
  | 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: 3439f007241accf9907c42ceff2c3c0f2c13e298f5f3d841e1c22200c6305fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1646f9086eae3c0e6f4df64155162165ba09e29f4087a70d105313eed7a807b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-01-01T16:08:33Z",
    "title_canon_sha256": "58cc876772fdeff73d3efd4a1f5be3a1fff3bdbf6c6d30f67fa610bb70bd16ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00379",
    "kind": "arxiv",
    "version": 2
  }
}