Pith Number

pith:NT3GIOVT

pith:2026:NT3GIOVTSIQ7RTJ3CCCMNHLCTW

not attested not anchored not stored refs pending

Counting Weighted Bi-Colored Plane Trees and Their Geometric Applications

Sicheng Lu, Yi Song

arxiv:2606.21074 v1 · 2026-06-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NT3GIOVTSIQ7RTJ3CCCMNHLCTW}

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	2026-06-23T01:12:28.993056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf6643ab39221f8cd3b1084c69d629db5af22d1546beebf21cc11f97a3211a8

Aliases

arxiv: 2606.21074 · arxiv_version: 2606.21074v1 · doi: 10.48550/arxiv.2606.21074 · pith_short_12: NT3GIOVTSIQ7 · pith_short_16: NT3GIOVTSIQ7RTJ3 · pith_short_8: NT3GIOVT

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/NT3GIOVTSIQ7RTJ3CCCMNHLCTW \
  | 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: 6cf6643ab39221f8cd3b1084c69d629db5af22d1546beebf21cc11f97a3211a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2da0e1b776d6ccfc3d39db666191c64d99922af4150c1a60083668ec9e9554d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-19T03:46:15Z",
    "title_canon_sha256": "d595b5c4cfdc3bc8a8d411e46fa51f9125124cb02e5d191938d268aa021baee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21074",
    "kind": "arxiv",
    "version": 1
  }
}