Pith Number

pith:J4BGWFBE

pith:2010:J4BGWFBENTPZ65H3ENWP4V6HLA

not attested not anchored not stored refs pending

Regionally proximal relation of order d is an equivalence one for minimal systems and a combinatorial consequence

Song Shao, Xiangdong Ye

arxiv:1007.0189 v2 · 2010-07-01 · 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{J4BGWFBENTPZ65H3ENWP4V6HLA}

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	2026-05-18T04:36:51.174423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f026b14246cdf9f74fb236cfe57c758085e360c56b3f4cea209fac1746a2a6e

Aliases

arxiv: 1007.0189 · arxiv_version: 1007.0189v2 · doi: 10.48550/arxiv.1007.0189 · pith_short_12: J4BGWFBENTPZ · pith_short_16: J4BGWFBENTPZ65H3 · pith_short_8: J4BGWFBE

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/J4BGWFBENTPZ65H3ENWP4V6HLA \
  | 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: 4f026b14246cdf9f74fb236cfe57c758085e360c56b3f4cea209fac1746a2a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d9371ebb45cbfbbf25fd02368ab9de9cd27f9e406a25f89ec4adc3cb9aee40d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-01T14:57:29Z",
    "title_canon_sha256": "31a14fec7a18974b3b3c9335e964c2091461160d59eaa798912967438aa718dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0189",
    "kind": "arxiv",
    "version": 2
  }
}