Pith Number

pith:LPK3ACYO

pith:2018:LPK3ACYO5GZBUVLX3FNSNAE7BW

not attested not anchored not stored refs pending

On compact trees with the coarse wedge topology

Jacopo Somaglia

arxiv:1803.11107 v3 · 2018-03-29 · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPK3ACYO5GZBUVLX3FNSNAE7BW}

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	2026-05-17T23:48:06.746115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd5b00b0ee9b21a5577d95b26809f0dab2dd04dc8afa91b79a3d5383ae7ece4

Aliases

arxiv: 1803.11107 · arxiv_version: 1803.11107v3 · doi: 10.48550/arxiv.1803.11107 · pith_short_12: LPK3ACYO5GZB · pith_short_16: LPK3ACYO5GZBUVLX · pith_short_8: LPK3ACYO

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/LPK3ACYO5GZBUVLX3FNSNAE7BW \
  | 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: 5bd5b00b0ee9b21a5577d95b26809f0dab2dd04dc8afa91b79a3d5383ae7ece4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a95b931dbdf6285cea35d081160dcbb0972cdd6a564be6aafd9a2ec8cd8d6834",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-03-29T14:58:32Z",
    "title_canon_sha256": "1795b8831d2e52fb3fa494a9ecd30717cea358ae5e6ae4826b47f8025f253e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11107",
    "kind": "arxiv",
    "version": 3
  }
}