Pith Number

pith:XNIJ4SW3

pith:2024:XNIJ4SW3EGJEAFWVL2324QJBGY

not attested not anchored not stored refs pending

On group and loop spheres

Wolfgang Bertram (IECL)

arxiv:2410.17634 v1 · 2024-10-23 · 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{XNIJ4SW3EGJEAFWVL2324QJBGY}

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.

Cited by

1 paper in Pith

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory

Receipt and verification

First computed	2026-07-05T09:24:41.837692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb509e4adb21924016d55eb7ae4121361d66d2932a3371f2c0a619cc9d6610d7

Aliases

arxiv: 2410.17634 · arxiv_version: 2410.17634v1 · doi: 10.48550/arxiv.2410.17634 · pith_short_12: XNIJ4SW3EGJE · pith_short_16: XNIJ4SW3EGJEAFWV · pith_short_8: XNIJ4SW3

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/XNIJ4SW3EGJEAFWVL2324QJBGY \
  | 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: bb509e4adb21924016d55eb7ae4121361d66d2932a3371f2c0a619cc9d6610d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc12fb476db282c8f8f0e49a553bc5bae66bc1e572229242497aa450a6b56fd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-10-23T07:51:05Z",
    "title_canon_sha256": "92ce8e661914111e8dd078329a2fedd2649d8af5430500b56137b9e35d6ceb42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.17634",
    "kind": "arxiv",
    "version": 1
  }
}