Pith Number

pith:LDFYE3F3

pith:2013:LDFYE3F3PCD7QD3HTSK5CTZCE4

not attested not anchored not stored refs pending

Orbits of pairs in abelian groups

Amritanshu Prasad, C. P. Anilkumar

arxiv:1305.5328 v1 · 2013-05-23 · math.CO · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDFYE3F3PCD7QD3HTSK5CTZCE4}

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	2026-05-18T02:46:31.375178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58cb826cbb7887f80f679c95d14f222732f618f8392a7bb4ca976f87e45e9923

Aliases

arxiv: 1305.5328 · arxiv_version: 1305.5328v1 · doi: 10.48550/arxiv.1305.5328 · pith_short_12: LDFYE3F3PCD7 · pith_short_16: LDFYE3F3PCD7QD3H · pith_short_8: LDFYE3F3

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/LDFYE3F3PCD7QD3HTSK5CTZCE4 \
  | 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: 58cb826cbb7887f80f679c95d14f222732f618f8392a7bb4ca976f87e45e9923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0073a6ae508c81cf4e5eb7f21e0bf6343c3b7173adbc9238e3c7a30ba285aec",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-23T06:45:40Z",
    "title_canon_sha256": "2351a38836777ca9ab412e22045526e1771a8b9f93cbe5bd094602ae2dca8a7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5328",
    "kind": "arxiv",
    "version": 1
  }
}