Pith Number

pith:6LA7HJ6N

pith:2015:6LA7HJ6NT3B2MRSJISNCCBMYO3

not attested not anchored not stored refs pending

Balanced finite presentations of the trivial group

Boris Lishak

arxiv:1504.00418 v2 · 2015-04-02 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LA7HJ6NT3B2MRSJISNCCBMYO3}

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	2026-05-18T01:11:27.446116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c1f3a7cd9ec3a64649449a21059876e501d88a6c1e56cf591ba13f6d6b9b4e

Aliases

arxiv: 1504.00418 · arxiv_version: 1504.00418v2 · doi: 10.48550/arxiv.1504.00418 · pith_short_12: 6LA7HJ6NT3B2 · pith_short_16: 6LA7HJ6NT3B2MRSJ · pith_short_8: 6LA7HJ6N

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/6LA7HJ6NT3B2MRSJISNCCBMYO3 \
  | 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: f2c1f3a7cd9ec3a64649449a21059876e501d88a6c1e56cf591ba13f6d6b9b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7920eaebc4e80cbda8b48313d57f6b8e78785b35f8ac1a1b58ac095307b9bb15",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-02T00:01:13Z",
    "title_canon_sha256": "4be7d155ec56948ebe6fccf5891c6a3ea4d4131bbef81c331aad7bcb6e5cf8a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00418",
    "kind": "arxiv",
    "version": 2
  }
}