Pith Number

pith:3TPVKFJG

pith:2018:3TPVKFJGDGARHSN2DHSVDJ4KMX

not attested not anchored not stored refs pending

On self-affine tiles whose boundary is a sphere

J\"org Thuswaldner, Shu-Qin Zhang

arxiv:1811.06718 v2 · 2018-11-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TPVKFJGDGARHSN2DHSVDJ4KMX}

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	2026-05-17T23:42:49.855474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdf551526198113c9ba19e551a78a65d8537dc97c4d4b4dab9d83ac81743d9f

Aliases

arxiv: 1811.06718 · arxiv_version: 1811.06718v2 · doi: 10.48550/arxiv.1811.06718 · pith_short_12: 3TPVKFJGDGAR · pith_short_16: 3TPVKFJGDGARHSN2 · pith_short_8: 3TPVKFJG

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/3TPVKFJGDGARHSN2DHSVDJ4KMX \
  | 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: dcdf551526198113c9ba19e551a78a65d8537dc97c4d4b4dab9d83ac81743d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab57d76aad011411daddd55bbad40f072a64be2c7d9b87e0beb1b5da176e865d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-16T09:25:38Z",
    "title_canon_sha256": "2374248615b6da39bbe07096cbe29cf8e2b5c5ac31abdd8ec4b03d7a1feda822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06718",
    "kind": "arxiv",
    "version": 2
  }
}