Pith Number

pith:SLXVPNTL

pith:2015:SLXVPNTL5UGFMTBVONPEOKNNCT

not attested not anchored not stored refs pending

Billiards in convex bodies with acute angles

Alexey Balitskiy, Arseniy Akopyan

arxiv:1506.06014 v2 · 2015-06-19 · math.MG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLXVPNTL5UGFMTBVONPEOKNNCT}

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	2026-05-18T01:23:38.203417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92ef57b66bed0c564c35735e4729ad14fc268af4b672625863237ed8afbaa27e

Aliases

arxiv: 1506.06014 · arxiv_version: 1506.06014v2 · doi: 10.48550/arxiv.1506.06014 · pith_short_12: SLXVPNTL5UGF · pith_short_16: SLXVPNTL5UGFMTBV · pith_short_8: SLXVPNTL

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/SLXVPNTL5UGFMTBVONPEOKNNCT \
  | 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: 92ef57b66bed0c564c35735e4729ad14fc268af4b672625863237ed8afbaa27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e82421db1c2116bb3d332868aa21889e5b9bc144c8007eb35adc9bf39d875c8d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-06-19T14:15:31Z",
    "title_canon_sha256": "578ff14fa7f399467214bdbcb89c37ca1552f8decc802f16040f89756f8d340d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06014",
    "kind": "arxiv",
    "version": 2
  }
}