Pith Number

pith:VJRFYFZF

pith:2016:VJRFYFZFGH2SOGWG5H5VHU423N

not attested not anchored not stored refs pending

Connectedness of self-affine sets with product digit sets

Jing-Cheng Liu, Jun Jason Luo, Ke Tang

arxiv:1603.06087 v1 · 2016-03-19 · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJRFYFZFGH2SOGWG5H5VHU423N}

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	2026-05-18T00:28:57.091812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa625c172531f5271ac6e9fb53d39adb5e76678615331a1821e44880e86e670d

Aliases

arxiv: 1603.06087 · arxiv_version: 1603.06087v1 · doi: 10.48550/arxiv.1603.06087 · pith_short_12: VJRFYFZFGH2S · pith_short_16: VJRFYFZFGH2SOGWG · pith_short_8: VJRFYFZF

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/VJRFYFZFGH2SOGWG5H5VHU423N \
  | 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: aa625c172531f5271ac6e9fb53d39adb5e76678615331a1821e44880e86e670d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d33f125395ea066c5f37919c5f39ef3caf4cc010b9b9ee69b357c5271a4613cb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-03-19T12:14:42Z",
    "title_canon_sha256": "fa10675bd0bd67d4dd495250dbfb6b4657383d226c8b57e15993d293355ecea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06087",
    "kind": "arxiv",
    "version": 1
  }
}