Pith Number

pith:GIBC2MJO

pith:2015:GIBC2MJOOOBSWLK3Q7CFXMKCSL

not attested not anchored not stored refs pending

On the multiplication groups of three-dimensional topological loops

\'Agota Figula

arxiv:1506.09147 v1 · 2015-06-30 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIBC2MJOOOBSWLK3Q7CFXMKCSL}

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	2026-05-18T01:37:33.565678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32022d312e73832b2d5b87c45bb14292e2f422867ec4d77a96867c0e7fc6b022

Aliases

arxiv: 1506.09147 · arxiv_version: 1506.09147v1 · doi: 10.48550/arxiv.1506.09147 · pith_short_12: GIBC2MJOOOBS · pith_short_16: GIBC2MJOOOBSWLK3 · pith_short_8: GIBC2MJO

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/GIBC2MJOOOBSWLK3Q7CFXMKCSL \
  | 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: 32022d312e73832b2d5b87c45bb14292e2f422867ec4d77a96867c0e7fc6b022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cccaa368983a66f267360fd974d9133acad7779c01e366593cabb0ec548c294e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-06-30T16:39:26Z",
    "title_canon_sha256": "f649adf694ab6fd4974f5d8555df5b5abd4b7d230db42171c19fe1685198c77f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09147",
    "kind": "arxiv",
    "version": 1
  }
}