Pith Number

pith:DBYTTR7H

pith:2017:DBYTTR7H5WYQRCK2HWMJVRHY7H

not attested not anchored not stored refs pending

Reconstructing unrooted phylogenetic trees from symbolic ternary metrics

Stefan Gr\"unewald, Yangjing Long, Yaokun Wu

arxiv:1702.00190 v3 · 2017-02-01 · 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{DBYTTR7H5WYQRCK2HWMJVRHY7H}

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	2026-05-18T00:25:39.642180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187139c7e7edb108895a3d989ac4f8f9ead9a2ad7caaa353c8345a55e889d7a8

Aliases

arxiv: 1702.00190 · arxiv_version: 1702.00190v3 · doi: 10.48550/arxiv.1702.00190 · pith_short_12: DBYTTR7H5WYQ · pith_short_16: DBYTTR7H5WYQRCK2 · pith_short_8: DBYTTR7H

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/DBYTTR7H5WYQRCK2HWMJVRHY7H \
  | 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: 187139c7e7edb108895a3d989ac4f8f9ead9a2ad7caaa353c8345a55e889d7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4924b59a6d11ba66e5472b4270b18a23c0ba2633be1dcea5c7fed98c9d97996d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-01T10:20:49Z",
    "title_canon_sha256": "255e5cb9065936deb398f53e9c0ebc87216cd9a996caf6c606066cff4b4a5c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00190",
    "kind": "arxiv",
    "version": 3
  }
}