Pith Number

pith:2H5AJA2C

pith:2025:2H5AJA2CODNDVEU4QLXJW67AQE

not attested not anchored not stored refs pending

Symmetric modules over the infinite polynomial ring I: nilpotent quotients

Andrew Snowden, Rohit Nagpal, Teresa Yu

arxiv:2508.04624 v1 · 2025-08-06 · math.AC · 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{2H5AJA2CODNDVEU4QLXJW67AQE}

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

Energy-Efficient Hybrid Beamfocusing for Near-Field Integrated Sensing and Communication

Receipt and verification

First computed	2026-07-05T11:49:40.632644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1fa04834270da3a929c82ee9b7be081108647ce4d32ebf4df9104982837a37f

Aliases

arxiv: 2508.04624 · arxiv_version: 2508.04624v1 · doi: 10.48550/arxiv.2508.04624 · pith_short_12: 2H5AJA2CODND · pith_short_16: 2H5AJA2CODNDVEU4 · pith_short_8: 2H5AJA2C

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/2H5AJA2CODNDVEU4QLXJW67AQE \
  | 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: d1fa04834270da3a929c82ee9b7be081108647ce4d32ebf4df9104982837a37f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "813578ce2ff5c827d2a97b5cb8f7f6225fc3c02004a15bdbb5685c9a576123ce",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-08-06T16:51:07Z",
    "title_canon_sha256": "15a5e2cfcbb2ee9a9999c8120904899ba1530666e87c2aa740e8e6d8c4e258fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04624",
    "kind": "arxiv",
    "version": 1
  }
}