Pith Number

pith:ADHYC4P7

pith:2026:ADHYC4P7GFV4US6TENK2VZKYT7

not attested not anchored not stored refs pending

Combinations and chromatography of paths of Kleinian groups

Matthew Zevenbergen

arxiv:2607.13950 v1 · 2026-07-15 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADHYC4P7GFV4US6TENK2VZKYT7}

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	2026-07-16T01:23:15.659132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00cf8171ff316bca4bd32355aae5589ffc5c8ca195e5ccc7baed15436ceaa277

Aliases

arxiv: 2607.13950 · arxiv_version: 2607.13950v1 · doi: 10.48550/arxiv.2607.13950 · pith_short_12: ADHYC4P7GFV4 · pith_short_16: ADHYC4P7GFV4US6T · pith_short_8: ADHYC4P7

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/ADHYC4P7GFV4US6TENK2VZKYT7 \
  | 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: 00cf8171ff316bca4bd32355aae5589ffc5c8ca195e5ccc7baed15436ceaa277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b878c32bc2f5c1d4d5943ad1635235504c1182ed8b7a17bf7fe568835999d421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-15T15:39:49Z",
    "title_canon_sha256": "fe10f3f7b8c84baf0a62a8651a6227d8cad9d94178e56537ca473cb28ecaa61f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13950",
    "kind": "arxiv",
    "version": 1
  }
}