Pith Number

pith:7UBHYEBO

pith:2018:7UBHYEBOQGBANHZS3NJSTQMM5I

not attested not anchored not stored refs pending

Gaps in probabilities of satisfying some commutator-like identities

Chiara Nicotera, Costantino Delizia, Primoz Moravec, Urban Jezernik

arxiv:1809.02997 v2 · 2018-09-09 · 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{7UBHYEBOQGBANHZS3NJSTQMM5I}

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	2026-05-17T23:54:22.556656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd027c102e8182069f32db5329c18cea03476d9306b9cabc84fe49606d653768

Aliases

arxiv: 1809.02997 · arxiv_version: 1809.02997v2 · doi: 10.48550/arxiv.1809.02997 · pith_short_12: 7UBHYEBOQGBA · pith_short_16: 7UBHYEBOQGBANHZS · pith_short_8: 7UBHYEBO

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/7UBHYEBOQGBANHZS3NJSTQMM5I \
  | 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: fd027c102e8182069f32db5329c18cea03476d9306b9cabc84fe49606d653768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df75a5a21e22973b9bfae57bcdbe0fee14f01b70dc37f4f3e7f5b00b2ad7455f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-09-09T16:02:22Z",
    "title_canon_sha256": "05cd1b709598fb1a768351db1c7ee7842aabafd449defde49e906a626157afb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02997",
    "kind": "arxiv",
    "version": 2
  }
}