Pith Number

pith:44XMTYUC

pith:2025:44XMTYUC4MEJGLD7IT4VSH4GWP

not attested not anchored not stored refs pending

Stability for socle-projective categories of type $\mathbb{A}$

Gabriel Bravo Rios, Kostiantyn Iusenko, Robinson-Julian Serna

arxiv:2501.13578 v1 · 2025-01-23 · 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{44XMTYUC4MEJGLD7IT4VSH4GWP}

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	2026-07-05T10:04:31.075730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e72ec9e282e308932c7f44f9591f86b3fbf8b763544365393998a6085c2df07c

Aliases

arxiv: 2501.13578 · arxiv_version: 2501.13578v1 · doi: 10.48550/arxiv.2501.13578 · pith_short_12: 44XMTYUC4MEJ · pith_short_16: 44XMTYUC4MEJGLD7 · pith_short_8: 44XMTYUC

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/44XMTYUC4MEJGLD7IT4VSH4GWP \
  | 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: e72ec9e282e308932c7f44f9591f86b3fbf8b763544365393998a6085c2df07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab38645b09398a3f675c10ffbbea495ab56cfa3151e44b8d49c52583077d939",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-01-23T11:36:36Z",
    "title_canon_sha256": "e9f85da0168686994f460a3ec765d5b0c53c3ce5033d4373aa457c1b21c6cd14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.13578",
    "kind": "arxiv",
    "version": 1
  }
}