Pith Number

pith:TPMUMFN3

pith:2019:TPMUMFN3SPSX3K5EPEXPMCXVSW

not attested not anchored not stored refs pending

A result on the sum of element orders of a finite group

Afsaneh Bahri, Behrooz Khosravi, Zeinab Akhlaghi

arxiv:1904.00425 v1 · 2019-03-31 · 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{TPMUMFN3SPSX3K5EPEXPMCXVSW}

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	2026-05-17T23:49:48.431492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd94615bb93e57daba4792ef60af595b5323dcdaf84b98fc2c363fd02575183

Aliases

arxiv: 1904.00425 · arxiv_version: 1904.00425v1 · doi: 10.48550/arxiv.1904.00425 · pith_short_12: TPMUMFN3SPSX · pith_short_16: TPMUMFN3SPSX3K5E · pith_short_8: TPMUMFN3

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/TPMUMFN3SPSX3K5EPEXPMCXVSW \
  | 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: 9bd94615bb93e57daba4792ef60af595b5323dcdaf84b98fc2c363fd02575183

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1374aaa0c06d0d29225b22157bd66b200670f25d4563e9dbc98d628ff5c01c42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-03-31T14:44:06Z",
    "title_canon_sha256": "6f8f3d3efa812f7e3bee006f206f014ab9ba273107b0ed4e0a3ef4c5cc3093b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00425",
    "kind": "arxiv",
    "version": 1
  }
}