Pith Number

pith:R6LGMQJT

pith:2026:R6LGMQJTOY5KZOPIDNHXTPTEDU

not attested not anchored not stored refs pending

Invariants of the Colored Braid Groupoid

Illia E. Rohozhkin

arxiv:2606.20473 v1 · 2026-06-18 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6LGMQJTOY5KZOPIDNHXTPTEDU}

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	2026-06-19T16:13:13.216220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f96664133763aacb9e81b4f79be641d358e8b7df3c6021787a0ae16ae8dc991

Aliases

arxiv: 2606.20473 · arxiv_version: 2606.20473v1 · doi: 10.48550/arxiv.2606.20473 · pith_short_12: R6LGMQJTOY5K · pith_short_16: R6LGMQJTOY5KZOPI · pith_short_8: R6LGMQJT

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/R6LGMQJTOY5KZOPIDNHXTPTEDU \
  | 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: 8f96664133763aacb9e81b4f79be641d358e8b7df3c6021787a0ae16ae8dc991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "682793421de55ab2ea9c911f17a8cb7d51bea5a4f4ac7ae84421dd972bd08357",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2026-06-18T16:52:40Z",
    "title_canon_sha256": "7235efdb1d72b41d3f3ae2c285a1df237419fe7429427c9a8ae01aed85d7d2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20473",
    "kind": "arxiv",
    "version": 1
  }
}