Pith Number

pith:FFHL2O75

pith:2023:FFHL2O75FL3RUBBS2OWJ4N7V57

not attested not anchored not stored refs pending

The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds

Igor Mikhailovich Nikonov, Vassily Olegovich Manturov

arxiv:2305.06316 v1 · 2023-05-10 · 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{FFHL2O75FL3RUBBS2OWJ4N7V57}

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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.

Cited by

1 paper in Pith

Invariants of the Colored Braid Groupoid

Receipt and verification

First computed	2026-07-05T06:09:01.909073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294ebd3bfd2af71a0432d3ac9e37f5efc945d4f07df93f3bb3dad36f8bc7f010

Aliases

arxiv: 2305.06316 · arxiv_version: 2305.06316v1 · doi: 10.48550/arxiv.2305.06316 · pith_short_12: FFHL2O75FL3R · pith_short_16: FFHL2O75FL3RUBBS · pith_short_8: FFHL2O75

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/FFHL2O75FL3RUBBS2OWJ4N7V57 \
  | 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: 294ebd3bfd2af71a0432d3ac9e37f5efc945d4f07df93f3bb3dad36f8bc7f010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ab9982713c3560ab12e7955751571cf31eef2a0f6e5175d312a27672f38a27",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-05-10T17:08:51Z",
    "title_canon_sha256": "1f090f996c80b39d1dc6d800b8b80d0f33bd98867d444f2f838a01907624dcd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.06316",
    "kind": "arxiv",
    "version": 1
  }
}