Pith Number

pith:EGW6PZO4

pith:2016:EGW6PZO4XJON4RKRTRF5DDQLDV

not attested not anchored not stored refs pending

Enumerations of vertices among all rooted ordered trees with levels and degrees

Heesung Shin, Sen-Peng Eu, Seunghyun Seo

arxiv:1605.00715 v3 · 2016-05-03 · 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{EGW6PZO4XJON4RKRTRF5DDQLDV}

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	2026-07-05T04:06:38.884430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ade7e5dcba5cde45519c4bd18e0b1d49681014d0c86718bf811c46eaa6ff16

Aliases

arxiv: 1605.00715 · arxiv_version: 1605.00715v3 · doi: 10.48550/arxiv.1605.00715 · pith_short_12: EGW6PZO4XJON · pith_short_16: EGW6PZO4XJON4RKR · pith_short_8: EGW6PZO4

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/EGW6PZO4XJON4RKRTRF5DDQLDV \
  | 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: 21ade7e5dcba5cde45519c4bd18e0b1d49681014d0c86718bf811c46eaa6ff16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a451432fccc7c59162d7028283b6925ad05c4d30cb996a44545eaabda9aae71c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-03T00:43:17Z",
    "title_canon_sha256": "99ca4118a84b91cae9f9a6940b322ed8f7da961d11a20b7d2c9d6553c30557d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00715",
    "kind": "arxiv",
    "version": 3
  }
}