Pith Number

pith:DWIED6T5

pith:2011:DWIED6T5CMFVZMZOWZS3TE5WOS

not attested not anchored not stored refs pending

Energy Quantization for Willmore Surfaces and Applications

Tristan Rivi\`ere, Yann Bernard

arxiv:1106.3780 v1 · 2011-06-19 · math.AP · 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{DWIED6T5CMFVZMZOWZS3TE5WOS}

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	2026-05-18T04:19:42.181586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d9041fa7d130b5cb32eb665b993b6749c0b77549db3c6f9506c77e432db1c83

Aliases

arxiv: 1106.3780 · arxiv_version: 1106.3780v1 · doi: 10.48550/arxiv.1106.3780 · pith_short_12: DWIED6T5CMFV · pith_short_16: DWIED6T5CMFVZMZO · pith_short_8: DWIED6T5

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/DWIED6T5CMFVZMZOWZS3TE5WOS \
  | 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: 1d9041fa7d130b5cb32eb665b993b6749c0b77549db3c6f9506c77e432db1c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3d3feb12d517c38a74c31af68f2185cbe79cd67d58e7bdcb610abe9ff3c6e1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-19T21:11:29Z",
    "title_canon_sha256": "74598b616e5ca86e26ff3c26acbee08c39925b2c48f8c7b4b7d388d69ba32130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3780",
    "kind": "arxiv",
    "version": 1
  }
}