Pith Number

pith:PI7JV2VQ

pith:2015:PI7JV2VQBRLUZTCQOHVT5LS3YD

not attested not anchored not stored refs pending

The data arrangement problem on binary trees

Eranda Cela, Joachim Schauer, Rostislav Stanek

arxiv:1512.08404 v1 · 2015-12-28 · math.OC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI7JV2VQBRLUZTCQOHVT5LS3YD}

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	2026-05-18T01:23:42.403550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3e9aeab00c574ccc5071eb3eae5bc0c826cd37d868aaf0bc0edf2e43c7392b

Aliases

arxiv: 1512.08404 · arxiv_version: 1512.08404v1 · doi: 10.48550/arxiv.1512.08404 · pith_short_12: PI7JV2VQBRLU · pith_short_16: PI7JV2VQBRLUZTCQ · pith_short_8: PI7JV2VQ

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/PI7JV2VQBRLUZTCQOHVT5LS3YD \
  | 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: 7a3e9aeab00c574ccc5071eb3eae5bc0c826cd37d868aaf0bc0edf2e43c7392b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a0fb3ae7b89d0dc858af69b3d97e5e2d3f799ee53414300a312db406ac1454b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-12-28T13:10:45Z",
    "title_canon_sha256": "7b5e23a0b54a44941db51cf1644d3c59029aeb5a0592eb1ba41960c8b81d8248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08404",
    "kind": "arxiv",
    "version": 1
  }
}