Pith Number

pith:EKSWPGHC

pith:2025:EKSWPGHCVHRQSF3X3AHAR6XGPL

not attested not anchored not stored refs pending

$\omega$-left approximation dimensions under Stable equivalence

Guoqiang Zhao, Junling Zheng, Juxiang Sun

arxiv:2507.09286 v1 · 2025-07-12 · 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{EKSWPGHCVHRQSF3X3AHAR6XGPL}

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	2026-07-05T11:36:06.789569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22a56798e2a9e3091777d80e08fae67ac84b5efd678bcf874e34ad331e025643

Aliases

arxiv: 2507.09286 · arxiv_version: 2507.09286v1 · doi: 10.48550/arxiv.2507.09286 · pith_short_12: EKSWPGHCVHRQ · pith_short_16: EKSWPGHCVHRQSF3X · pith_short_8: EKSWPGHC

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/EKSWPGHCVHRQSF3X3AHAR6XGPL \
  | 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: 22a56798e2a9e3091777d80e08fae67ac84b5efd678bcf874e34ad331e025643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a38be2136f3dee7dc6828cae5ca5dcb6d0c26637fe5b46d51c6f469d7fe40a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-12T13:49:51Z",
    "title_canon_sha256": "f0da9ae0610ff9a8038b7064c72e79e26d6cc7d2f1bfded8dc2454c6ddf5696d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09286",
    "kind": "arxiv",
    "version": 1
  }
}