Pith Number

pith:UCZNU2TY

pith:2025:UCZNU2TYIPQKSJVQBKPIRXC63M

not attested not anchored not stored refs pending

On the gracesize of trees

Alexey Pokrovskiy, Ella Williams, Shoham Letzter

arxiv:2511.11331 v2 · 2025-11-14 · 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{UCZNU2TYIPQKSJVQBKPIRXC63M}

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.

Cited by

1 paper in Pith

A proof of Andersen's rainbow path conjecture for large $n$

Receipt and verification

First computed	2026-08-03T01:12:14.727674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b2da6a7843e0a926b00a9e88dc5edb1a15e617e283cfaafc08bd0324c295d5

Aliases

arxiv: 2511.11331 · arxiv_version: 2511.11331v2 · doi: 10.48550/arxiv.2511.11331 · pith_short_12: UCZNU2TYIPQK · pith_short_16: UCZNU2TYIPQKSJVQ · pith_short_8: UCZNU2TY

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/UCZNU2TYIPQKSJVQBKPIRXC63M \
  | 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: a0b2da6a7843e0a926b00a9e88dc5edb1a15e617e283cfaafc08bd0324c295d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea828b1667f606760bb25d8fbd914f162e8543015210ed8dd9039d9cb849031",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-11-14T14:05:02Z",
    "title_canon_sha256": "a4088ad9de378b5fd6028140e58bc03fcdf7ea64e57a73b8ea3027b84cf11eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.11331",
    "kind": "arxiv",
    "version": 2
  }
}