Pith Number

pith:TPOFEUN5

pith:2026:TPOFEUN5UT52GLWOBLQYAJ5U3B

not attested not anchored not stored refs pending

Quadratic Forms for Measuring Geometric Trees in 3-dimensional Space

Emanuele Cortinovis, Herbert Edelsbrunner, Shota Uka, Yossi Bokor Bleile

arxiv:2606.20096 v1 · 2026-06-18 · cs.CG · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPOFEUN5UT52GLWOBLQYAJ5U3B}

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	2026-06-19T16:13:02.762146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bdc5251bda4fba32ece0ae18027b4d85b497666bf9083c104b0f9a2427eb24f

Aliases

arxiv: 2606.20096 · arxiv_version: 2606.20096v1 · doi: 10.48550/arxiv.2606.20096 · pith_short_12: TPOFEUN5UT52 · pith_short_16: TPOFEUN5UT52GLWO · pith_short_8: TPOFEUN5

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/TPOFEUN5UT52GLWOBLQYAJ5U3B \
  | 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: 9bdc5251bda4fba32ece0ae18027b4d85b497666bf9083c104b0f9a2427eb24f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31748d0640dabfb82787635cba937dc01277b5018117f478765e450dc32c2637",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-06-18T11:14:30Z",
    "title_canon_sha256": "e5bcca629f81b926a98afc7babc0c0ae2c40115fec115d8504b9bf4362cc9324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20096",
    "kind": "arxiv",
    "version": 1
  }
}