Pith Number

pith:HWFARIHX

pith:2013:HWFARIHXN4IEEKSFMIDBXPF45X

not attested not anchored not stored refs pending

A Universal Grammar-Based Code For Lossless Compression of Binary Trees

En-hui Yang, Jie Zhang, John C. Kieffer

arxiv:1304.7392 v1 · 2013-04-27 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWFARIHXN4IEEKSFMIDBXPF45X}

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	2026-05-18T03:26:54.132698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8a08a0f76f10422a4562061bbcbcedcbedf0a4c07e0f74731b2671d9ceb3eb

Aliases

arxiv: 1304.7392 · arxiv_version: 1304.7392v1 · doi: 10.48550/arxiv.1304.7392 · pith_short_12: HWFARIHXN4IE · pith_short_16: HWFARIHXN4IEEKSF · pith_short_8: HWFARIHX

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/HWFARIHXN4IEEKSFMIDBXPF45X \
  | 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: 3d8a08a0f76f10422a4562061bbcbcedcbedf0a4c07e0f74731b2671d9ceb3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e959aa516bc0bc84634095777ba4fa978b81e2673a8b19853cb90d8ee2a3baf3",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-27T18:02:53Z",
    "title_canon_sha256": "7bd184d06a735bd50a25572ca65d570483e67017d5326c84b11a0a5ebe0b8636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7392",
    "kind": "arxiv",
    "version": 1
  }
}