Pith Number

pith:N3Q6HFQL

pith:2015:N3Q6HFQLBUMYW3KLCGIBWKVLRN

not attested not anchored not stored refs pending

Bounding minimal solid angles of polytopes

Arseniy Akopyan, Roman Karasev

arxiv:1505.05263 v2 · 2015-05-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3Q6HFQLBUMYW3KLCGIBWKVLRN}

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	2026-05-18T01:17:37.523603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee1e3960b0d198b6d4b11901b2aab8b4f095142005e185113a11cede82c12d2

Aliases

arxiv: 1505.05263 · arxiv_version: 1505.05263v2 · doi: 10.48550/arxiv.1505.05263 · pith_short_12: N3Q6HFQLBUMY · pith_short_16: N3Q6HFQLBUMYW3KL · pith_short_8: N3Q6HFQL

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/N3Q6HFQLBUMYW3KLCGIBWKVLRN \
  | 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: 6ee1e3960b0d198b6d4b11901b2aab8b4f095142005e185113a11cede82c12d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e3b0cff61edd21d42920be16dd2d95a2b9c5f9c8a1ce793ec3dd130abcb66c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-05-20T07:27:09Z",
    "title_canon_sha256": "c0d38ccb9c7eaf643534957d4c6370d89db5231aaa72f3183bc56271212ca9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05263",
    "kind": "arxiv",
    "version": 2
  }
}