Pith Number

pith:FYRJ2I4O

pith:2016:FYRJ2I4OCDUJNUJRB34GPLA33I

not attested not anchored not stored refs pending

Optimal Tree Hash Modes: the Case of Trees Having their Leaves at All the Levels

Kevin Atighehchi

arxiv:1607.00307 v10 · 2016-07-01 · cs.DC · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYRJ2I4OCDUJNUJRB34GPLA33I}

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	2026-05-18T00:41:41.636818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e229d238e10e896d1310ef867ac1bda01fe01536421265c94833f4ae6bde164

Aliases

arxiv: 1607.00307 · arxiv_version: 1607.00307v10 · doi: 10.48550/arxiv.1607.00307 · pith_short_12: FYRJ2I4OCDUJ · pith_short_16: FYRJ2I4OCDUJNUJR · pith_short_8: FYRJ2I4O

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/FYRJ2I4OCDUJNUJRB34GPLA33I \
  | 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: 2e229d238e10e896d1310ef867ac1bda01fe01536421265c94833f4ae6bde164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a77785387dadf0e801b7819042d92eab87a6a77f15ac47f147231a371b1ffb2c",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2016-07-01T16:34:02Z",
    "title_canon_sha256": "f6710182026e9c2b5a19a282b4d5cdca9bf204562c3487592520b2bbc1f6936f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00307",
    "kind": "arxiv",
    "version": 10
  }
}