Pith Number

pith:NPHNWJ34

pith:2019:NPHNWJ34YO3FFDUFKS3LL5HMHT

not attested not anchored not stored refs pending

The minimum value of the Colless index

Francesc Rossell\'o, Tom\'as M. Coronado

arxiv:1903.11670 v4 · 2019-03-27 · q-bio.PE · cs.DM · 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{NPHNWJ34YO3FFDUFKS3LL5HMHT}

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	2026-05-17T23:39:54.467853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bcedb277cc3b6528e8554b6b5f4ec3cd8140fd542fcd57b86ca1bced8020b84

Aliases

arxiv: 1903.11670 · arxiv_version: 1903.11670v4 · doi: 10.48550/arxiv.1903.11670 · pith_short_12: NPHNWJ34YO3F · pith_short_16: NPHNWJ34YO3FFDUF · pith_short_8: NPHNWJ34

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/NPHNWJ34YO3FFDUFKS3LL5HMHT \
  | 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: 6bcedb277cc3b6528e8554b6b5f4ec3cd8140fd542fcd57b86ca1bced8020b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9145cb41b809d223ccc22f247238ed1a8710f9837736e8a79191ea6f676916f0",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2019-03-27T19:47:38Z",
    "title_canon_sha256": "ebd3eaf26cf4385264c961b98d465549648991e293e9d5a50d62e202b1ec6733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.11670",
    "kind": "arxiv",
    "version": 4
  }
}