Pith Number

pith:AFXOATJN

pith:2021:AFXOATJN2G3TRONE5V73AMNBRJ

not attested not anchored not stored refs pending

Enumeration of fully parked trees

Linxiao Chen

arxiv:2103.15770 v1 · 2021-03-29 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFXOATJN2G3TRONE5V73AMNBRJ}

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.

Cited by

1 paper in Pith

Parking on the Random Recursive Tree

Receipt and verification

First computed	2026-07-05T02:27:09.560958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016ee04d2dd1b738b9a4ed7fb031a18a65bff8a90e997ee342b471fbaa71d72f

Aliases

arxiv: 2103.15770 · arxiv_version: 2103.15770v1 · doi: 10.48550/arxiv.2103.15770 · pith_short_12: AFXOATJN2G3T · pith_short_16: AFXOATJN2G3TRONE · pith_short_8: AFXOATJN

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/AFXOATJN2G3TRONE5V73AMNBRJ \
  | 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: 016ee04d2dd1b738b9a4ed7fb031a18a65bff8a90e997ee342b471fbaa71d72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441a8d934f78eaf971b15bc98c199b99e2396efc79cdf7256062961016ac4118",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-29T17:03:08Z",
    "title_canon_sha256": "f98c6b2fc495129d24a80f35b69c46f9c1eef598ff023d884ccb15a84d4da500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15770",
    "kind": "arxiv",
    "version": 1
  }
}