Pith Number

pith:NDNYIUV4

pith:2017:NDNYIUV4CGZNPJOF2Y3M4BZX27

not attested not anchored not stored refs pending

Tropical Principal Component Analysis and its Application to Phylogenetics

Leon Zhang, Ruriko Yoshida, Xu Zhang

arxiv:1710.02682 v2 · 2017-10-07 · math.CO · 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{NDNYIUV4CGZNPJOF2Y3M4BZX27}

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	2026-05-18T00:32:54.694924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68db8452bc11b2d7a5c5d636ce0737d7d0bf718113fbb9dd080f44f912b84c70

Aliases

arxiv: 1710.02682 · arxiv_version: 1710.02682v2 · doi: 10.48550/arxiv.1710.02682 · pith_short_12: NDNYIUV4CGZN · pith_short_16: NDNYIUV4CGZNPJOF · pith_short_8: NDNYIUV4

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/NDNYIUV4CGZNPJOF2Y3M4BZX27 \
  | 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: 68db8452bc11b2d7a5c5d636ce0737d7d0bf718113fbb9dd080f44f912b84c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ff882b28a41b9fc5662e1b7ce0c496ea391e88fff1307c94aa78ffdb1e035c",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-07T13:07:14Z",
    "title_canon_sha256": "e48bfdb9deb90bcd7d4273f69ca83e0aedbdd94997cf966f5bcd1adbb3b5485e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02682",
    "kind": "arxiv",
    "version": 2
  }
}