Pith Number

pith:4XW2IF6M

pith:2018:4XW2IF6MXBNSZXK5B7JS23YKNB

not attested not anchored not stored refs pending

Some notes on extended equation solvability and identity checking for groups

Michael Kompatscher

arxiv:1808.07776 v1 · 2018-08-23 · 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{4XW2IF6MXBNSZXK5B7JS23YKNB}

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	2026-05-18T00:07:24.316900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5eda417ccb85b2cdd5d0fd32d6f0a6847d8e0400d1b7f4b3994262e89bada36

Aliases

arxiv: 1808.07776 · arxiv_version: 1808.07776v1 · doi: 10.48550/arxiv.1808.07776 · pith_short_12: 4XW2IF6MXBNS · pith_short_16: 4XW2IF6MXBNSZXK5 · pith_short_8: 4XW2IF6M

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/4XW2IF6MXBNSZXK5B7JS23YKNB \
  | 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: e5eda417ccb85b2cdd5d0fd32d6f0a6847d8e0400d1b7f4b3994262e89bada36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee6a6f4c4adb8fcb17b0e7b89c0fdf666c2fe0907c8f05570533c81d874e32a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-23T14:27:32Z",
    "title_canon_sha256": "34782c6c0fe5bfd6a67e8b06186056af0a180d9e89469c2beb83be814183c9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07776",
    "kind": "arxiv",
    "version": 1
  }
}