Pith Number

pith:3JQ5ZXGF

pith:2016:3JQ5ZXGFROVXCAXVVYAE7LF55B

not attested not anchored not stored refs pending

Smoothness of Minkowski sum and generic rotations

Igor Belegradek, Zixin Jiang

arxiv:1607.02753 v2 · 2016-07-10 · 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{3JQ5ZXGFROVXCAXVVYAE7LF55B}

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	2026-05-18T00:49:42.284766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da61dcdcc58bab7102f5ae004facbde87345bc66c7f3d1f026bdca1ce3450d15

Aliases

arxiv: 1607.02753 · arxiv_version: 1607.02753v2 · doi: 10.48550/arxiv.1607.02753 · pith_short_12: 3JQ5ZXGFROVX · pith_short_16: 3JQ5ZXGFROVXCAXV · pith_short_8: 3JQ5ZXGF

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/3JQ5ZXGFROVXCAXVVYAE7LF55B \
  | 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: da61dcdcc58bab7102f5ae004facbde87345bc66c7f3d1f026bdca1ce3450d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf252cdcd82a30c16d8b3031ba1d037fc9197d0356586702a3fa7c0bf740cf2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-07-10T15:19:52Z",
    "title_canon_sha256": "f80739ea6c0f200ffaa0a0d6ef266b79050919bb1e5f5aa56cba470aa77f6836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02753",
    "kind": "arxiv",
    "version": 2
  }
}