Pith Number

pith:T5N3Q4CI

pith:2012:T5N3Q4CI6X5ROJ56GCBW5KFJZM

not attested not anchored not stored refs pending

Degeneration and orbits of tuples and subgroups in an Abelian group

Amritanshu Prasad, Kunal Dutta, Wesley Calvert

arxiv:1208.4902 v1 · 2012-08-24 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5N3Q4CI6X5ROJ56GCBW5KFJZM}

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	2026-05-18T03:38:45.935821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5bb87048f5fb1727be30836ea8a9cb16219a6f29224210d11d4e378aec22cf

Aliases

arxiv: 1208.4902 · arxiv_version: 1208.4902v1 · doi: 10.48550/arxiv.1208.4902 · pith_short_12: T5N3Q4CI6X5R · pith_short_16: T5N3Q4CI6X5ROJ56 · pith_short_8: T5N3Q4CI

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/T5N3Q4CI6X5ROJ56GCBW5KFJZM \
  | 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: 9f5bb87048f5fb1727be30836ea8a9cb16219a6f29224210d11d4e378aec22cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1365afbe334d210a347dee6973df2e4951b64868ac54217d62b8a208f1461bb8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-24T04:27:34Z",
    "title_canon_sha256": "35badadfc685fc18d5421f7a06e9fc74d5bfc2efb9fd36f80b49f3acdfc90791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4902",
    "kind": "arxiv",
    "version": 1
  }
}