Pith Number

pith:NHMW32K2

pith:2025:NHMW32K2FRLWL65YUCFGD5LLXA

not attested not anchored not stored refs pending

The vertex sets of subtrees of a tree

Alex Scott, Maria Chudnovsky, Paul Seymour, Tung Nguyen

arxiv:2506.03603 v1 · 2025-06-04 · 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{NHMW32K2FRLWL65YUCFGD5LLXA}

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	2026-07-05T11:15:48.585027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69d96de95a2c5765fbb8a08a61f56bb81453d0b87df9129b29cd1674ff49c76d

Aliases

arxiv: 2506.03603 · arxiv_version: 2506.03603v1 · doi: 10.48550/arxiv.2506.03603 · pith_short_12: NHMW32K2FRLW · pith_short_16: NHMW32K2FRLWL65Y · pith_short_8: NHMW32K2

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/NHMW32K2FRLWL65YUCFGD5LLXA \
  | 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: 69d96de95a2c5765fbb8a08a61f56bb81453d0b87df9129b29cd1674ff49c76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4524d0243d03b4965c84be2780e5248852a4c9b0813aaafa1321aeaf59a69d2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-04T06:24:53Z",
    "title_canon_sha256": "155f6dab5f3a1c17df5900eda90e92ec7b2f43b6935bbc7df04689dbd95a6fed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03603",
    "kind": "arxiv",
    "version": 1
  }
}