Pith Number

pith:JPWA75VE

pith:2015:JPWA75VEUUNZ2KI5YJC4X6I26X

not attested not anchored not stored refs pending

Invariant subsets of scattered trees. An application to the tree alternative property of Bonato and Tardif

Claude Laflamme, Maurice Pouzet, Norbert Sauer

arxiv:1508.01123 v2 · 2015-08-05 · 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{JPWA75VEUUNZ2KI5YJC4X6I26X}

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	2026-05-18T01:03:36.887577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bec0ff6a4a51b9d291dc245cbf91af5d07b0c5d90365323be623290ade8e3e6

Aliases

arxiv: 1508.01123 · arxiv_version: 1508.01123v2 · doi: 10.48550/arxiv.1508.01123 · pith_short_12: JPWA75VEUUNZ · pith_short_16: JPWA75VEUUNZ2KI5 · pith_short_8: JPWA75VE

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/JPWA75VEUUNZ2KI5YJC4X6I26X \
  | 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: 4bec0ff6a4a51b9d291dc245cbf91af5d07b0c5d90365323be623290ade8e3e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d543098b06003f499e376f2bff5de67b709a97462b5e42b54f2abb7e8c6467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-05T16:22:30Z",
    "title_canon_sha256": "225cbc4f2417681e916dafc7d672904b5d300e08f92381a6c64d99b13d8f6609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01123",
    "kind": "arxiv",
    "version": 2
  }
}