Pith Number

pith:4VKYDHYP

pith:2026:4VKYDHYPREBRGCH6F457F47N5E

not attested not anchored not stored refs pending

Extriangulated ideal quotients and $d$-Auslander categories

Lior Silberberg

arxiv:2607.07211 v1 · 2026-07-08 · 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{4VKYDHYPREBRGCH6F457F47N5E}

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	2026-07-09T01:20:17.905386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e555819f0f89031308fe2f3bf2f3ede927cc3f1460d29a3d0127f94a33340a4f

Aliases

arxiv: 2607.07211 · arxiv_version: 2607.07211v1 · doi: 10.48550/arxiv.2607.07211 · pith_short_12: 4VKYDHYPREBR · pith_short_16: 4VKYDHYPREBRGCH6 · pith_short_8: 4VKYDHYP

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/4VKYDHYPREBRGCH6F457F47N5E \
  | 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: e555819f0f89031308fe2f3bf2f3ede927cc3f1460d29a3d0127f94a33340a4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1794464a0ae99b76b2577e08a90d3a22f74ddc3d892f2384729e811e9173607",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-08T09:50:17Z",
    "title_canon_sha256": "043a78eced6b26a682fb7ef87c69966d61edc6ec7508bc130b10e6eb4057f34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07211",
    "kind": "arxiv",
    "version": 1
  }
}