Pith Number

pith:UZYQRZON

pith:2026:UZYQRZONLXQDQPM45SXI2L52MZ

not attested not anchored not stored refs pending

Analytic patch trees: branch interface inheritance and fractal dimension fields

Henk Mulder

arxiv:2606.06400 v1 · 2026-06-04 · cs.CG · math.DG · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZYQRZONLXQDQPM45SXI2L52MZ}

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	2026-06-05T01:15:44.489652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67108e5cd5de0383d9cecae8d2fba6650560179ac9ab4116d98be45622c558a

Aliases

arxiv: 2606.06400 · arxiv_version: 2606.06400v1 · doi: 10.48550/arxiv.2606.06400 · pith_short_12: UZYQRZONLXQD · pith_short_16: UZYQRZONLXQDQPM4 · pith_short_8: UZYQRZON

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/UZYQRZONLXQDQPM45SXI2L52MZ \
  | 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: a67108e5cd5de0383d9cecae8d2fba6650560179ac9ab4116d98be45622c558a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6eb7a55acc1745081612525dad57aefcb48395ac63a746822111a6f8aeadaa",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2026-06-04T17:07:07Z",
    "title_canon_sha256": "b712ec0d1bab631fcbd5a1e0b87681da4090ddc72d0cdd5385ed303d33fb8ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06400",
    "kind": "arxiv",
    "version": 1
  }
}