Pith Number

pith:2BISACYV

pith:2017:2BISACYVM3K6FBTKY5UQHYMWDF

not attested not anchored not stored refs pending

Refining the Two-Dimensional Signed Small Ball Inequality

Noah Kravitz

arxiv:1712.01206 v2 · 2017-12-04 · math.CA · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BISACYVM3K6FBTKY5UQHYMWDF}

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	2026-05-18T00:15:05.171385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d051200b1566d5e2866ac76903e196197f8e43260f2e8a825be43ad1ecc6925b

Aliases

arxiv: 1712.01206 · arxiv_version: 1712.01206v2 · doi: 10.48550/arxiv.1712.01206 · pith_short_12: 2BISACYVM3K6 · pith_short_16: 2BISACYVM3K6FBTK · pith_short_8: 2BISACYV

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/2BISACYVM3K6FBTKY5UQHYMWDF \
  | 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: d051200b1566d5e2866ac76903e196197f8e43260f2e8a825be43ad1ecc6925b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6f78389402781824fdb9d787ee8022fda32c2adb47f1914e2746c1d465ec042",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-04T17:13:32Z",
    "title_canon_sha256": "f70b4a1c477bbd5e1095acae1b63cdd6b8f998bb31b3075908e5b7c81199efec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01206",
    "kind": "arxiv",
    "version": 2
  }
}