Pith Number

pith:OPVOE2LJ

pith:2013:OPVOE2LJO5G6TKGRB3MHXLMK45

not attested not anchored not stored refs pending

Bounds on the Number of Huffman and Binary-Ternary Trees

Angeline Rao, Jian Shen, Yezhou Feng, Ying Liu

arxiv:1303.5134 v1 · 2013-03-21 · 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{OPVOE2LJO5G6TKGRB3MHXLMK45}

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	2026-05-18T03:30:14.416894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73eae26969774de9a8d10ed87bad8ae754a3a01c4b021bdd61951934834b5a21

Aliases

arxiv: 1303.5134 · arxiv_version: 1303.5134v1 · doi: 10.48550/arxiv.1303.5134 · pith_short_12: OPVOE2LJO5G6 · pith_short_16: OPVOE2LJO5G6TKGR · pith_short_8: OPVOE2LJ

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/OPVOE2LJO5G6TKGRB3MHXLMK45 \
  | 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: 73eae26969774de9a8d10ed87bad8ae754a3a01c4b021bdd61951934834b5a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4daf93b9cc62b9aad524b65b56b719d568927832230ca0a22f4d06844db4f0dd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-21T01:21:41Z",
    "title_canon_sha256": "c9dda4e580630d98361c7dfa4576e07550d258560199cf8a5a26bef1a29cf257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5134",
    "kind": "arxiv",
    "version": 1
  }
}