Pith Number

pith:BGFQLCZ7

pith:2026:BGFQLCZ7ZH32U5RSVRDYFOWF7J

not attested not anchored not stored refs pending

Shadowing property and transitivity of a set-valued map and its inverse limit

Lidong Wang, Yingcui Zhao

arxiv:2607.17325 v1 · 2026-07-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGFQLCZ7ZH32U5RSVRDYFOWF7J}

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	2026-07-21T01:21:27.379124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

098b058b3fc9f7aa7632ac4782bac5fa72e073b78320251fe56abddf08e18339

Aliases

arxiv: 2607.17325 · arxiv_version: 2607.17325v1 · doi: 10.48550/arxiv.2607.17325 · pith_short_12: BGFQLCZ7ZH32 · pith_short_16: BGFQLCZ7ZH32U5RS · pith_short_8: BGFQLCZ7

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/BGFQLCZ7ZH32U5RSVRDYFOWF7J \
  | 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: 098b058b3fc9f7aa7632ac4782bac5fa72e073b78320251fe56abddf08e18339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd20a2e62fdd42f472c4c19bb8fb4deddc7d32ed035881ce7c338c31d4df594",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-19T16:23:13Z",
    "title_canon_sha256": "a7a7783873ffa1c67ca3774a0c03e0d5426ee4034fc4c377f40e393620054b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17325",
    "kind": "arxiv",
    "version": 1
  }
}