Pith Number

pith:EBTSDBVS

pith:2016:EBTSDBVSWQZUWJBZ63FUTTMTXO

not attested not anchored not stored refs pending

Cost functionals for large (uniform and simply generated) random trees

Jean-Fran\c{c}ois Delmas, Jean-St\'ephane Dhersin, Marion Sciauveau

arxiv:1605.04245 v3 · 2016-05-13 · 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{EBTSDBVSWQZUWJBZ63FUTTMTXO}

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	2026-05-18T01:04:55.798282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20672186b2b4334b2439f6cb49cd93bb9c523052b453caabe41f513dcddd434a

Aliases

arxiv: 1605.04245 · arxiv_version: 1605.04245v3 · doi: 10.48550/arxiv.1605.04245 · pith_short_12: EBTSDBVSWQZU · pith_short_16: EBTSDBVSWQZUWJBZ · pith_short_8: EBTSDBVS

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/EBTSDBVSWQZUWJBZ63FUTTMTXO \
  | 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: 20672186b2b4334b2439f6cb49cd93bb9c523052b453caabe41f513dcddd434a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e41c7704311b2bde6877607c395960ee9c93edb00c942e1b39429d521657532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-13T16:42:51Z",
    "title_canon_sha256": "a42781b4b618edb40d749efa1b957a13eaa0eb52dca8f358eb5cbd9f9c82044b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04245",
    "kind": "arxiv",
    "version": 3
  }
}