Pith Number

pith:LTUUDD7Z

pith:2012:LTUUDD7ZVIXVRT45YCEWV5HVLS

not attested not anchored not stored refs pending

Constrained Willmore and CMC tori in the 3-sphere

Lynn Heller

arxiv:1212.2068 v1 · 2012-12-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTUUDD7ZVIXVRT45YCEWV5HVLS}

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	2026-05-18T02:20:59.788184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ce9418ff9aa2f58cf9dc0896af4f55c98f6041c7ffa38691fb6b520a927f965

Aliases

arxiv: 1212.2068 · arxiv_version: 1212.2068v1 · doi: 10.48550/arxiv.1212.2068 · pith_short_12: LTUUDD7ZVIXV · pith_short_16: LTUUDD7ZVIXVRT45 · pith_short_8: LTUUDD7Z

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/LTUUDD7ZVIXVRT45YCEWV5HVLS \
  | 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: 5ce9418ff9aa2f58cf9dc0896af4f55c98f6041c7ffa38691fb6b520a927f965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fb16192c493f0378f1551e79a5ed1269d72f4bab8f8dc503f74b724ce2a809f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-10T14:03:01Z",
    "title_canon_sha256": "75522e35e54866a72383183bdec982c79ec53b3f37f36c4d710dbb70de2475e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2068",
    "kind": "arxiv",
    "version": 1
  }
}