Pith Number

pith:5VRQL75V

pith:2017:5VRQL75VGXMZW6MHJFQHMOR6PO

not attested not anchored not stored refs pending

A topological proof of the non-degeneracy of harmonic structures on Sierpinski Gaskets

Hua Qiu, Shiping Cao

arxiv:1703.01071 v2 · 2017-03-03 · math.CA · 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{5VRQL75VGXMZW6MHJFQHMOR6PO}

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	2026-05-18T00:31:00.104058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6305ffb535d99b79874960763a3e7ba25b0f953a4d9b46ba7e613ba76fc776

Aliases

arxiv: 1703.01071 · arxiv_version: 1703.01071v2 · doi: 10.48550/arxiv.1703.01071 · pith_short_12: 5VRQL75VGXMZ · pith_short_16: 5VRQL75VGXMZW6MH · pith_short_8: 5VRQL75V

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/5VRQL75VGXMZW6MHJFQHMOR6PO \
  | 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: ed6305ffb535d99b79874960763a3e7ba25b0f953a4d9b46ba7e613ba76fc776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234478ef83d89889c7852f60e50a72372c7fc3950ed8c91f398ae52965a2afe1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-03-03T08:05:33Z",
    "title_canon_sha256": "f120888157798d71d899aa42644b460b97df63a25c1eaae5f0cf35414d34bc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01071",
    "kind": "arxiv",
    "version": 2
  }
}