Pith Number

pith:6ZOFFRCC

pith:2017:6ZOFFRCCHXXT3XTQI3ZCONEJOF

not attested not anchored not stored refs pending

On the Volume of Boolean expressions of Large Congruent Balls

Bal\'azs Csik\'os

arxiv:1712.07892 v1 · 2017-12-21 · 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{6ZOFFRCCHXXT3XTQI3ZCONEJOF}

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	2026-05-18T00:27:29.440534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65c52c4423def3dde7046f2273489717211939f5cddb92724b7c5b3d4739e3e

Aliases

arxiv: 1712.07892 · arxiv_version: 1712.07892v1 · doi: 10.48550/arxiv.1712.07892 · pith_short_12: 6ZOFFRCCHXXT · pith_short_16: 6ZOFFRCCHXXT3XTQ · pith_short_8: 6ZOFFRCC

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/6ZOFFRCCHXXT3XTQI3ZCONEJOF \
  | 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: f65c52c4423def3dde7046f2273489717211939f5cddb92724b7c5b3d4739e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52fcce745f97275613e3b50a2f39cef57ff757ab2da91630794fa1e4e27f99bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-12-21T11:52:46Z",
    "title_canon_sha256": "47333287ed4c39e544c1672e0c71d7eceee4a38400ef81e79930b2c43a7b7aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07892",
    "kind": "arxiv",
    "version": 1
  }
}