Pith Number

pith:256CY2KB

pith:2017:256CY2KBGA5DCBJLVVMXVEV7FI

not attested not anchored not stored refs pending

Union of Random Trees and Applications

Andrew Salmon, Austen James, Daniel Montealegre, Matthew Larson

arxiv:1701.06208 v3 · 2017-01-22 · 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{256CY2KBGA5DCBJLVVMXVEV7FI}

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	2026-07-05T00:40:33.885996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77c2c6941303a31052bad597a92bf2a1a59692550c86ad900ab28b3b747cc6a

Aliases

arxiv: 1701.06208 · arxiv_version: 1701.06208v3 · doi: 10.48550/arxiv.1701.06208 · pith_short_12: 256CY2KBGA5D · pith_short_16: 256CY2KBGA5DCBJL · pith_short_8: 256CY2KB

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/256CY2KBGA5DCBJLVVMXVEV7FI \
  | 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: d77c2c6941303a31052bad597a92bf2a1a59692550c86ad900ab28b3b747cc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2039f5b3428e85219e2bfd1a3efde69914f4c7482533c7b88e6efa9d88534c10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-22T19:15:50Z",
    "title_canon_sha256": "2e83c11509c14f56a97189da43b1c1ce44b4e409a960b89f9d9a032081c5e2ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06208",
    "kind": "arxiv",
    "version": 3
  }
}