Pith Number

pith:TNK2XI6H

pith:2016:TNK2XI6HPPQDAMV2WNIWDJARVV

not attested not anchored not stored refs pending

Self-similar sets, simple augmented trees, and their Lipschitz equivalence

Jun Jason Luo

arxiv:1612.00209 v1 · 2016-12-01 · math.GT · 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{TNK2XI6HPPQDAMV2WNIWDJARVV}

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	2026-05-18T00:56:05.760303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b55aba3c77be03032bab35161a411ad4f335896d399285b0b6b69ce97ed0beb

Aliases

arxiv: 1612.00209 · arxiv_version: 1612.00209v1 · doi: 10.48550/arxiv.1612.00209 · pith_short_12: TNK2XI6HPPQD · pith_short_16: TNK2XI6HPPQDAMV2 · pith_short_8: TNK2XI6H

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/TNK2XI6HPPQDAMV2WNIWDJARVV \
  | 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: 9b55aba3c77be03032bab35161a411ad4f335896d399285b0b6b69ce97ed0beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bd8ff6d51a632543651b410dd2af559827349c0de170428cbc5f54193f74fd2",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-01T11:47:44Z",
    "title_canon_sha256": "cd1243424ea0e18c106c2ad5f46d26d16d6b11f09de23e2ce2fb42c347c501ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00209",
    "kind": "arxiv",
    "version": 1
  }
}