Pith Number

pith:ZN4TWK3E

pith:2015:ZN4TWK3EVWHNUOPSZTXZIXHYP7

not attested not anchored not stored refs pending

Strictly convex Wulff shapes and $C^1$ convex integrands

Huhe Han, Takashi Nishimura

arxiv:1507.05162 v2 · 2015-07-18 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZN4TWK3EVWHNUOPSZTXZIXHYP7}

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	2026-05-18T00:12:41.045449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb793b2b64ad8eda39f2ccef945cf87fec45f96619f794c3c7dd4497e8186300

Aliases

arxiv: 1507.05162 · arxiv_version: 1507.05162v2 · doi: 10.48550/arxiv.1507.05162 · pith_short_12: ZN4TWK3EVWHN · pith_short_16: ZN4TWK3EVWHNUOPS · pith_short_8: ZN4TWK3E

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/ZN4TWK3EVWHNUOPSZTXZIXHYP7 \
  | 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: cb793b2b64ad8eda39f2ccef945cf87fec45f96619f794c3c7dd4497e8186300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "addfca23484078cc57348f1cf9e6b85ba454f726b2481cded2b3279a31a4368b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-07-18T09:30:27Z",
    "title_canon_sha256": "e2152296a6fc470b45fdb78003de59cdde90eb577e1cb195bff934ab5a7ee69a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05162",
    "kind": "arxiv",
    "version": 2
  }
}