Pith Number

pith:W66DQE5G

pith:2025:W66DQE5GMQHH3AY7KF6PYRREZK

not attested not anchored not stored refs pending

Bijections in weakly increasing trees via binary trees

Yang Li, Zhicong Lin

arxiv:2502.09161 v1 · 2025-02-13 · 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{W66DQE5GMQHH3AY7KF6PYRREZK}

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	2026-07-05T10:13:53.198304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7bc3813a6640e7d831f517cfc4624caaf209bd64d9055c4dc9ba707b25a1be0

Aliases

arxiv: 2502.09161 · arxiv_version: 2502.09161v1 · doi: 10.48550/arxiv.2502.09161 · pith_short_12: W66DQE5GMQHH · pith_short_16: W66DQE5GMQHH3AY7 · pith_short_8: W66DQE5G

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/W66DQE5GMQHH3AY7KF6PYRREZK \
  | 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: b7bc3813a6640e7d831f517cfc4624caaf209bd64d9055c4dc9ba707b25a1be0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06b0ab1e6581e1d9d23f9185c65cf4908851bcfa946ef082b8b9df6b3f4873e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-13T10:42:49Z",
    "title_canon_sha256": "b17d24eca0fbf87d19859242175c01e9f24908c8beccf522887dfba6e0756dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.09161",
    "kind": "arxiv",
    "version": 1
  }
}