Pith Number

pith:R6S64U2L

pith:2023:R6S64U2LY3INEQR6VANNX2P4F2

not attested not anchored not stored refs pending

Computing the Bounds of the Number of Reticulations in a Tree-Child Network That Displays a Set of Trees

Louxin Zhang, Yufeng Wu

arxiv:2311.18218 v1 · 2023-11-30 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6S64U2LY3INEQR6VANNX2P4F2}

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	2026-07-05T07:18:38.872989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fa5ee534bc6d0d2423ea81adbe9fc2e85ab81653fbeba954526dd4754320dd6

Aliases

arxiv: 2311.18218 · arxiv_version: 2311.18218v1 · doi: 10.48550/arxiv.2311.18218 · pith_short_12: R6S64U2LY3IN · pith_short_16: R6S64U2LY3INEQR6 · pith_short_8: R6S64U2L

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/R6S64U2LY3INEQR6VANNX2P4F2 \
  | 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: 8fa5ee534bc6d0d2423ea81adbe9fc2e85ab81653fbeba954526dd4754320dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0b3ca32d5b17bd57bf18f7792fd435b4ec220470e64cf21b63b23622916ab1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2023-11-30T03:22:32Z",
    "title_canon_sha256": "f46fa3d021391e44e6b2309248eadf6cbfcc3f701bf43a2be3129411e9e6e26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18218",
    "kind": "arxiv",
    "version": 1
  }
}