Pith Number

pith:SGPMSICS

pith:2012:SGPMSICSDYWVGUV5AOTQ3O25QE

not attested not anchored not stored refs pending

Symmetry of minimizers with a level surface parallel to the boundary

Giulio Ciraolo, Rolando Magnanini, Shigeru Sakaguchi

arxiv:1203.5295 v3 · 2012-03-23 · 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{SGPMSICSDYWVGUV5AOTQ3O25QE}

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	2026-05-18T02:30:32.860915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919ec920521e2d5352bd03a70dbb5d8124712e60f17aeef94eebc327dd1cf5b3

Aliases

arxiv: 1203.5295 · arxiv_version: 1203.5295v3 · doi: 10.48550/arxiv.1203.5295 · pith_short_12: SGPMSICSDYWV · pith_short_16: SGPMSICSDYWVGUV5 · pith_short_8: SGPMSICS

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/SGPMSICSDYWVGUV5AOTQ3O25QE \
  | 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: 919ec920521e2d5352bd03a70dbb5d8124712e60f17aeef94eebc327dd1cf5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22bfb9a4a5de77f20f3d9d7937324e88b7ea287b161fda8e9008f104b9a30a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-23T17:01:33Z",
    "title_canon_sha256": "f9d17a3ba884f554a83d9657577dead09de8847b8dd732059fa40672ab2e279e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5295",
    "kind": "arxiv",
    "version": 3
  }
}