Pith Number

pith:IW4DTCBH

pith:2026:IW4DTCBHNF5YYJ22ICXHV6WAKV

not attested not anchored not stored refs pending

Row pathwidth of complete binary trees

J\k{e}drzej Hodor, Piotr Micek

arxiv:2608.09495 v1 · 2026-08-10 · 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{IW4DTCBHNF5YYJ22ICXHV6WAKV}

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	2026-08-11T02:24:20.356459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b8398827697b8c275a40ae7afac0554621b15c771f7a4b17cb6e95b1605e18

Aliases

arxiv: 2608.09495 · arxiv_version: 2608.09495v1 · doi: 10.48550/arxiv.2608.09495 · pith_short_12: IW4DTCBHNF5Y · pith_short_16: IW4DTCBHNF5YYJ22 · pith_short_8: IW4DTCBH

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/IW4DTCBHNF5YYJ22ICXHV6WAKV \
  | 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: 45b8398827697b8c275a40ae7afac0554621b15c771f7a4b17cb6e95b1605e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc52054d870cdc8bc479100a663d1ccb6b0a7778a8e7ff5ac8dea96ac1b226b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-10T12:02:50Z",
    "title_canon_sha256": "afdd8ec7573e99dc25b4f3b9502fe9bc4eb98e6bcf578d72c0239cee120ac733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09495",
    "kind": "arxiv",
    "version": 1
  }
}