Pith Number

pith:IDALL4L2

pith:2026:IDALL4L2ZM4MUW23HAILPSWPN6

not attested not anchored not stored refs pending

Silting subcategories and (co)torsion pairs associated to extended hearts

Haicheng Zhang, Liangwei Huang

arxiv:2606.13508 v1 · 2026-06-11 · 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{IDALL4L2ZM4MUW23HAILPSWPN6}

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	2026-06-12T01:10:07.421569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c0b5f17acb38ca5b5b3810b7cacf6fad9d1225df716f56ef7ae64394f8effb

Aliases

arxiv: 2606.13508 · arxiv_version: 2606.13508v1 · doi: 10.48550/arxiv.2606.13508 · pith_short_12: IDALL4L2ZM4M · pith_short_16: IDALL4L2ZM4MUW23 · pith_short_8: IDALL4L2

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/IDALL4L2ZM4MUW23HAILPSWPN6 \
  | 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: 40c0b5f17acb38ca5b5b3810b7cacf6fad9d1225df716f56ef7ae64394f8effb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d751078ec6ce7a1abf0badbc96d50f4b7a980f2e19069dc5a7719f805eab00ec",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-06-11T15:55:40Z",
    "title_canon_sha256": "23c4c467590fb54523027f750bfe7739a8ebedeb3c5bd335fc7e77e164f2d37b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13508",
    "kind": "arxiv",
    "version": 1
  }
}