Pith Number

pith:AO2NCWQS

pith:2024:AO2NCWQSB3HCJQQWTAKPFWRHUI

not attested not anchored not stored refs pending

CMC surfaces of revolution, Elliptic curves, Weierstrass-$\wp$ functions, and Algebraicity

Anantadulal Paul, Rahul Kumar Singh, Rukmini Dey

arxiv:2405.19742 v2 · 2024-05-30 · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AO2NCWQSB3HCJQQWTAKPFWRHUI}

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	2026-07-05T08:38:38.368758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b4d15a120ece24c2169814f2da27a2276349390eb95e08e0821a8c3dd2d567

Aliases

arxiv: 2405.19742 · arxiv_version: 2405.19742v2 · doi: 10.48550/arxiv.2405.19742 · pith_short_12: AO2NCWQSB3HC · pith_short_16: AO2NCWQSB3HCJQQW · pith_short_8: AO2NCWQS

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/AO2NCWQSB3HCJQQWTAKPFWRHUI \
  | 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: 03b4d15a120ece24c2169814f2da27a2276349390eb95e08e0821a8c3dd2d567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5da20b3cd8ba99391e04a501b09df3ab9d9a04e340d4c5b43d4c24e922db4302",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-05-30T06:40:40Z",
    "title_canon_sha256": "c39b088f86a39c6bc10ac0c5380ef82ba0a6bd0db88dac236a5baa5af77f592d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.19742",
    "kind": "arxiv",
    "version": 2
  }
}