Pith Number

pith:T2HRFDWT

pith:2013:T2HRFDWTDAJSMLWB73T5G5QKS4

not attested not anchored not stored refs pending

Torsion pairs and filtrations in abelian categories with tilting objects

Jason Lo

arxiv:1302.2991 v1 · 2013-02-13 · math.AG · 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{T2HRFDWTDAJSMLWB73T5G5QKS4}

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	2026-05-18T03:33:49.126728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8f128ed31813262ec1fee7d3760a973721a1e66d680592eedc1e34152c8492

Aliases

arxiv: 1302.2991 · arxiv_version: 1302.2991v1 · doi: 10.48550/arxiv.1302.2991 · pith_short_12: T2HRFDWTDAJS · pith_short_16: T2HRFDWTDAJSMLWB · pith_short_8: T2HRFDWT

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/T2HRFDWTDAJSMLWB73T5G5QKS4 \
  | 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: 9e8f128ed31813262ec1fee7d3760a973721a1e66d680592eedc1e34152c8492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323f77128912106b201a56ad1204f26e158218f4202fa918d08e2afb6bd6e8f9",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-13T06:24:51Z",
    "title_canon_sha256": "694ed77ee4fd6f75eda78931cb13dd49a1f84f21006c72b70a5adf5e555b6de9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2991",
    "kind": "arxiv",
    "version": 1
  }
}