Pith Number

pith:AICMMBV3

pith:2016:AICMMBV3X6RUG33NIBS2N2FBXQ

not attested not anchored not stored refs pending

Energy Quantization of Willmore surfaces at the boundary of the Moduli Space

Paul Laurain, Tristan Rivi\`ere

arxiv:1606.08004 v2 · 2016-06-26 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AICMMBV3X6RUG33NIBS2N2FBXQ}

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	2026-05-18T00:01:00.962075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0204c606bbbfa3436f6d4065a6e8a1bc33a7f35a8da698e99a626eb6cf67f64f

Aliases

arxiv: 1606.08004 · arxiv_version: 1606.08004v2 · doi: 10.48550/arxiv.1606.08004 · pith_short_12: AICMMBV3X6RU · pith_short_16: AICMMBV3X6RUG33N · pith_short_8: AICMMBV3

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/AICMMBV3X6RUG33NIBS2N2FBXQ \
  | 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: 0204c606bbbfa3436f6d4065a6e8a1bc33a7f35a8da698e99a626eb6cf67f64f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea54a150c737eb533226e10076e4123166556fc4eb1a69fb2f03fde2dd11a62b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-26T07:46:46Z",
    "title_canon_sha256": "3573e8c4e3bef6d6d725b374705d430805282f01e5e1244bca3aa80939d170e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08004",
    "kind": "arxiv",
    "version": 2
  }
}