Pith Number

pith:27AIJR2X

pith:2025:27AIJR2X3M5INCBH2HZJLKKRPX

not attested not anchored not stored refs pending

Expected and minimal values of a universal tree balance index

Armaan Ahmed, Robert Noble, Veselin Manojlovi\'c, Yannick Viossat

arxiv:2507.08615 v1 · 2025-07-11 · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27AIJR2X3M5INCBH2HZJLKKRPX}

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	2026-07-05T11:35:43.357585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c084c757db3a868827d1f295a9517dccd196a5e3e98b7e4cccd21496286e68

Aliases

arxiv: 2507.08615 · arxiv_version: 2507.08615v1 · doi: 10.48550/arxiv.2507.08615 · pith_short_12: 27AIJR2X3M5I · pith_short_16: 27AIJR2X3M5INCBH · pith_short_8: 27AIJR2X

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/27AIJR2X3M5INCBH2HZJLKKRPX \
  | 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: d7c084c757db3a868827d1f295a9517dccd196a5e3e98b7e4cccd21496286e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f68273f52a5500c79b76a08e2764c48d7e3d1a3615b18039dbe6acd7bd3bd2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2025-07-11T14:12:20Z",
    "title_canon_sha256": "587b3097aa9b36c213a8df635beba2232e846396c7882a7e913daeaf163bb013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08615",
    "kind": "arxiv",
    "version": 1
  }
}