Pith Number

pith:HCL6X4VC

pith:2026:HCL6X4VC4JD2T2VLMJG7MAK3GT

not attested not anchored not stored refs pending

Small Sets of Generators for Handlebody Groups

Celal Can Bellek, Emir G\"ul, Mehmetcik Pamuk, O\u{g}uz Y{\i}ld{\i}z, T\"ulin Altun\"oz

arxiv:2607.01003 v1 · 2026-07-01 · 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{HCL6X4VC4JD2T2VLMJG7MAK3GT}

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	2026-07-02T01:18:25.724479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3897ebf2a2e247a9eaab624df6015b34fa4e4c09accdd6615a4652930d1bc8f2

Aliases

arxiv: 2607.01003 · arxiv_version: 2607.01003v1 · doi: 10.48550/arxiv.2607.01003 · pith_short_12: HCL6X4VC4JD2 · pith_short_16: HCL6X4VC4JD2T2VL · pith_short_8: HCL6X4VC

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/HCL6X4VC4JD2T2VLMJG7MAK3GT \
  | 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: 3897ebf2a2e247a9eaab624df6015b34fa4e4c09accdd6615a4652930d1bc8f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e85b9ebf0a26aa81f62da1b12e71fcf6b45c8949e4047a9f445ca9c9a94381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-01T14:42:05Z",
    "title_canon_sha256": "484d2ffa9eb47047034ad2a2775bc1cdd2d5e7276efdb6d3396e74ed79db4298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01003",
    "kind": "arxiv",
    "version": 1
  }
}