Pith Number

pith:ACX4ZEPJ

pith:2026:ACX4ZEPJJA5KAHZ2HLBO6NAGRI

not attested not anchored not stored refs pending

Large silting mutation in extriangulated categories

Diego Alberto Barcel\'o Nieves

arxiv:2607.01058 v1 · 2026-07-01 · math.RT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACX4ZEPJJA5KAHZ2HLBO6NAGRI}

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	2026-07-02T01:18:27.583019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00afcc91e9483aa01f3a3ac2ef34068a3232158fff52f4bc9e409beed393ddeb

Aliases

arxiv: 2607.01058 · arxiv_version: 2607.01058v1 · doi: 10.48550/arxiv.2607.01058 · pith_short_12: ACX4ZEPJJA5K · pith_short_16: ACX4ZEPJJA5KAHZ2 · pith_short_8: ACX4ZEPJ

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/ACX4ZEPJJA5KAHZ2HLBO6NAGRI \
  | 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: 00afcc91e9483aa01f3a3ac2ef34068a3232158fff52f4bc9e409beed393ddeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c475d7770936eedd7667b2e7250c6d1ff380d48a0a761d5a30fe621bba86503",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-01T15:22:06Z",
    "title_canon_sha256": "55fb8bf8bc7ba3ab88589cad7df06b0d65c8cc705f11947cd94566564aa82231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01058",
    "kind": "arxiv",
    "version": 1
  }
}