Pith Number

pith:VIPF6PRA

pith:2014:VIPF6PRA2MZOABFXCFQQUBP4SS

not attested not anchored not stored refs pending

Invariant convex sets in polar representations

Alessandro Ghigi, Leonardo Biliotti, Peter Heinzner

arxiv:1411.6041 v1 · 2014-11-21 · math.CV · 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{VIPF6PRA2MZOABFXCFQQUBP4SS}

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	2026-05-18T02:33:00.752353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa1e5f3e20d332e004b711610a05fc94b7493d11c383a128dcd68c8986f913d0

Aliases

arxiv: 1411.6041 · arxiv_version: 1411.6041v1 · doi: 10.48550/arxiv.1411.6041 · pith_short_12: VIPF6PRA2MZO · pith_short_16: VIPF6PRA2MZOABFX · pith_short_8: VIPF6PRA

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/VIPF6PRA2MZOABFXCFQQUBP4SS \
  | 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: aa1e5f3e20d332e004b711610a05fc94b7493d11c383a128dcd68c8986f913d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9298522d1f91681175346e6e8a47f29fd3ddc946e94423f24d787f87b75f7ee4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-21T22:12:53Z",
    "title_canon_sha256": "137525c05af9061953afb65fcab12e52807b39bc3ffbc6c8e5a2415c4797e9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6041",
    "kind": "arxiv",
    "version": 1
  }
}