Pith Number

pith:6O4JNIKK

pith:2025:6O4JNIKKB7FKF6KZ7S42WJC6Z7

not attested not anchored not stored refs pending

The spectrum of global representations for families of bounded rank and VI-modules

Jordan Williamson, Luca Pol, Miguel Barrero, Neil Strickland, Tobias Barthel

arxiv:2506.21525 v1 · 2025-06-26 · math.RT · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O4JNIKKB7FKF6KZ7S42WJC6Z7}

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

An algebraic model for rational ultracommutative rings

Receipt and verification

First computed	2026-07-05T11:27:47.402218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3b896a14a0fcaa2f959fcb9ab245ecfdd6e7dea2567c798f3882a8da735c75e

Aliases

arxiv: 2506.21525 · arxiv_version: 2506.21525v1 · doi: 10.48550/arxiv.2506.21525 · pith_short_12: 6O4JNIKKB7FK · pith_short_16: 6O4JNIKKB7FKF6KZ · pith_short_8: 6O4JNIKK

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/6O4JNIKKB7FKF6KZ7S42WJC6Z7 \
  | 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: f3b896a14a0fcaa2f959fcb9ab245ecfdd6e7dea2567c798f3882a8da735c75e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df41514f9541c3270c5a7f31a3d032bdcde6008393c24dcfd70398d6ca362c59",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-06-26T17:45:30Z",
    "title_canon_sha256": "d3db88a7ccc8b911c7e9ebaec3cd7c9cc2a552bb6cf011694c954a0c2cdb4003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21525",
    "kind": "arxiv",
    "version": 1
  }
}