Pith Number

pith:MCWXFDFX

pith:2019:MCWXFDFX43IHL5ZPQYLZ5QCVBP

not attested not anchored not stored refs pending

Commuting graph of $A$-orbits

G\"ulin Ercan, \.Ismail \c{S}. G\"ulo\u{g}lu

arxiv:1908.06867 v2 · 2019-08-19 · 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{MCWXFDFX43IHL5ZPQYLZ5QCVBP}

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	2026-07-04T23:59:34.843793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ad728cb7e6d075f72f86179ec0550bed3fd3c42fbdf5cabde0fbc10b60a815

Aliases

arxiv: 1908.06867 · arxiv_version: 1908.06867v2 · doi: 10.48550/arxiv.1908.06867 · pith_short_12: MCWXFDFX43IH · pith_short_16: MCWXFDFX43IHL5ZP · pith_short_8: MCWXFDFX

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/MCWXFDFX43IHL5ZPQYLZ5QCVBP \
  | 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: 60ad728cb7e6d075f72f86179ec0550bed3fd3c42fbdf5cabde0fbc10b60a815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbb051fb842b6479b8961a8ba7b04af0ed83b67e324cfcaf62c9ce2006ab0f43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-19T15:05:05Z",
    "title_canon_sha256": "d33e25529163303dd09afd0aa8c02bc44808dd5e4bf8d303de1ba5127cad65d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06867",
    "kind": "arxiv",
    "version": 2
  }
}