Pith Number

pith:OKAVVDM5

pith:2023:OKAVVDM5PYW3EKFLBUFDJ56GOW

not attested not anchored not stored refs pending

Trees with at least $6\ell+11$ vertices are $\ell$-reconstructible

Alexandr V. Kostochka, Dara Zirlin, Douglas B. West, Mina Nahvi

arxiv:2307.10035 v1 · 2023-07-19 · 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{OKAVVDM5PYW3EKFLBUFDJ56GOW}

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	2026-07-05T06:32:49.688794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72815a8d9d7e2db228ab0d0a34f7c675a8f5f5511aec6f9a265cf08ff778466e

Aliases

arxiv: 2307.10035 · arxiv_version: 2307.10035v1 · doi: 10.48550/arxiv.2307.10035 · pith_short_12: OKAVVDM5PYW3 · pith_short_16: OKAVVDM5PYW3EKFL · pith_short_8: OKAVVDM5

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/OKAVVDM5PYW3EKFLBUFDJ56GOW \
  | 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: 72815a8d9d7e2db228ab0d0a34f7c675a8f5f5511aec6f9a265cf08ff778466e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd9583c9f51c2411124033241cee55ea791820afdf0c13fff19e1e111408b5e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-19T15:18:49Z",
    "title_canon_sha256": "71a5ed920a5b6ea0819f6433225f7ffd410b0ec4f9cce97a664b5fe510cae9ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10035",
    "kind": "arxiv",
    "version": 1
  }
}