Pith Number

pith:LJ46VJL5

pith:2013:LJ46VJL54DP652UWGXZSFYRSWA

not attested not anchored not stored refs pending

The Apple Doesn't Fall Far From the (Metric) Tree: The Equivalence of Definitions

Asuman G. Aksoy, Sixian Jin

arxiv:1306.6092 v1 · 2013-06-25 · 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{LJ46VJL54DP652UWGXZSFYRSWA}

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	2026-05-18T03:19:56.077700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a79eaa57de0dfeeea9635f322e232b0090cb3d3e9eb82e80b9bf0566d88cc82

Aliases

arxiv: 1306.6092 · arxiv_version: 1306.6092v1 · doi: 10.48550/arxiv.1306.6092 · pith_short_12: LJ46VJL54DP6 · pith_short_16: LJ46VJL54DP652UW · pith_short_8: LJ46VJL5

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/LJ46VJL54DP652UWGXZSFYRSWA \
  | 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: 5a79eaa57de0dfeeea9635f322e232b0090cb3d3e9eb82e80b9bf0566d88cc82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9934920dd5ee5f0a35aa5ae517c53ddf393a95452abd719e95c5a453d547c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-06-25T21:19:44Z",
    "title_canon_sha256": "019416fce59fb8befb2d74cb2fc35e429f6a0bab15d306dda5763fa82a31b4c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6092",
    "kind": "arxiv",
    "version": 1
  }
}