Pith Number

pith:45LFEC5R

pith:2016:45LFEC5REMUXMBE4GFNMEVI4VU

not attested not anchored not stored refs pending

Parking on a random tree

Christina Goldschmidt, Micha{\l} Przykucki

arxiv:1610.08786 v2 · 2016-10-27 · math.PR · 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{45LFEC5REMUXMBE4GFNMEVI4VU}

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	2026-05-17T23:52:08.638816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e756520bb1232976049c315ac2551cad1e5d0f98b66560720cb5b8fb0bca4042

Aliases

arxiv: 1610.08786 · arxiv_version: 1610.08786v2 · doi: 10.48550/arxiv.1610.08786 · pith_short_12: 45LFEC5REMUX · pith_short_16: 45LFEC5REMUXMBE4 · pith_short_8: 45LFEC5R

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/45LFEC5REMUXMBE4GFNMEVI4VU \
  | 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: e756520bb1232976049c315ac2551cad1e5d0f98b66560720cb5b8fb0bca4042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9809a6ac9928617e6f80be477262b4e03dce432964f0aa572f0ec33e0722b9d1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-27T14:07:39Z",
    "title_canon_sha256": "9df00951426b82190f72b42997986a5fb3d8d51db7d94a8c2ada6818800feb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08786",
    "kind": "arxiv",
    "version": 2
  }
}