Pith Number

pith:AZV42YGR

pith:2018:AZV42YGRRMG4PM3T5BAO5GN7WA

not attested not anchored not stored refs pending

Periodic points of a Landen transformation

Armengol Gasull, Mireia Llorens, V\'ictor Ma\~nosa

arxiv:1801.04195 v1 · 2018-01-12 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZV42YGRRMG4PM3T5BAO5GN7WA}

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	2026-05-18T00:16:44.354630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

066bcd60d18b0dc7b373e840ee99bfb015204d0f664a64d84bd34910651964e4

Aliases

arxiv: 1801.04195 · arxiv_version: 1801.04195v1 · doi: 10.48550/arxiv.1801.04195 · pith_short_12: AZV42YGRRMG4 · pith_short_16: AZV42YGRRMG4PM3T · pith_short_8: AZV42YGR

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/AZV42YGRRMG4PM3T5BAO5GN7WA \
  | 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: 066bcd60d18b0dc7b373e840ee99bfb015204d0f664a64d84bd34910651964e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f31f4e8cf249a48c75f86d8dfcc2e195cdbfc87e4c9112c1acc4a43a490f69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-12T15:12:58Z",
    "title_canon_sha256": "b5c1cf11fe417a2005a98f8f12674fe961b6ec8afc536f3a6ccacc94ad70bc7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04195",
    "kind": "arxiv",
    "version": 1
  }
}