Pith Number

pith:OAT34BPB

pith:2026:OAT34BPBWHJAIJRZSH4P6L3WCL

not attested not anchored not stored refs pending

On the number of orthomorphisms of the alternating group on four symbols

Rohitesh Pradhan, Vivek Kumar Jain

arxiv:2606.17583 v1 · 2026-06-16 · 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{OAT34BPBWHJAIJRZSH4P6L3WCL}

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	2026-06-19T16:10:16.555828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7027be05e1b1d204263991f8ff2f7612e9b7db87b9efcb6acf58913f1da7a0de

Aliases

arxiv: 2606.17583 · arxiv_version: 2606.17583v1 · doi: 10.48550/arxiv.2606.17583 · pith_short_12: OAT34BPBWHJA · pith_short_16: OAT34BPBWHJAIJRZ · pith_short_8: OAT34BPB

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/OAT34BPBWHJAIJRZSH4P6L3WCL \
  | 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: 7027be05e1b1d204263991f8ff2f7612e9b7db87b9efcb6acf58913f1da7a0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a5d5b12c8ff5cd34609c7be51a34bdd61ce93c3af7a6a97e4158c3409a633e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-16T06:46:08Z",
    "title_canon_sha256": "c9aed51ee786c08d619eb30c5374fc764e16dba51f077e7dddadce89ddbf93b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17583",
    "kind": "arxiv",
    "version": 1
  }
}