Pith Number

pith:S7FN3UYW

pith:2012:S7FN3UYWJER5G2EXGLRLXEL6NQ

not attested not anchored not stored refs pending

Complete Willmore surfaces in H3 with bounded energy: boundary regularity and bubbling

Rafe Mazzeo, Spyros Alexakis

arxiv:1204.4955 v3 · 2012-04-23 · 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{S7FN3UYWJER5G2EXGLRLXEL6NQ}

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	2026-05-18T00:56:52.719211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97caddd3164923d3689732e2bb917e6c1b01fcc83e62998875235f6fd814b054

Aliases

arxiv: 1204.4955 · arxiv_version: 1204.4955v3 · doi: 10.48550/arxiv.1204.4955 · pith_short_12: S7FN3UYWJER5 · pith_short_16: S7FN3UYWJER5G2EX · pith_short_8: S7FN3UYW

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/S7FN3UYWJER5G2EXGLRLXEL6NQ \
  | 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: 97caddd3164923d3689732e2bb917e6c1b01fcc83e62998875235f6fd814b054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cec9c1a07609eee9028b7da20fd0d83bfd4e8a8a2bb7cd0ae4de133ba2d9a43",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-23T01:05:29Z",
    "title_canon_sha256": "f031157e1c56092313faa308cf79a14225a50ce50b0ad7765526de027f773c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4955",
    "kind": "arxiv",
    "version": 3
  }
}