Pith Number

pith:VFQ3UTUJ

pith:2021:VFQ3UTUJ7JQRNO72OZM7UKXPDX

not attested not anchored not stored refs pending

Relative tilting theory in abelian categories II: $n$-$\mathcal{X}$-tilting theory

Alejandro Argudin Monroy, Octavio Mendoza Hernandez

arxiv:2112.14873 v2 · 2021-12-30 · math.RT · 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{VFQ3UTUJ7JQRNO72OZM7UKXPDX}

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	2026-07-05T07:15:43.255760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a961ba4e89fa6116bbfa7659fa2aef1dc91015bd6a314f1f36dbd1e366afe9cb

Aliases

arxiv: 2112.14873 · arxiv_version: 2112.14873v2 · doi: 10.48550/arxiv.2112.14873 · pith_short_12: VFQ3UTUJ7JQR · pith_short_16: VFQ3UTUJ7JQRNO72 · pith_short_8: VFQ3UTUJ

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/VFQ3UTUJ7JQRNO72OZM7UKXPDX \
  | 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: a961ba4e89fa6116bbfa7659fa2aef1dc91015bd6a314f1f36dbd1e366afe9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1105f91873efe57dfb4a9ab6af644cda0e1501d8e41c7bd970922ea84e1e01d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-12-30T01:11:11Z",
    "title_canon_sha256": "23f324aabbf11656a6ec27bfda5a149b2a1203c4c5492c63d0d617cf9375231a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14873",
    "kind": "arxiv",
    "version": 2
  }
}