Pith Number

pith:BVUIY4PL

pith:2021:BVUIY4PL74A2SVTVEWWTSVMQ6D

not attested not anchored not stored refs pending

Lower tails via relative entropy

Gady Kozma, Wojciech Samotij

arxiv:2104.04850 v1 · 2021-04-10 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVUIY4PL74A2SVTVEWWTSVMQ6D}

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	2026-07-05T02:30:48.306787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d688c71ebff01a9567525ad395590f0e1a97a42f435b0a4ef77fc068d93934c

Aliases

arxiv: 2104.04850 · arxiv_version: 2104.04850v1 · doi: 10.48550/arxiv.2104.04850 · pith_short_12: BVUIY4PL74A2 · pith_short_16: BVUIY4PL74A2SVTV · pith_short_8: BVUIY4PL

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/BVUIY4PL74A2SVTVEWWTSVMQ6D \
  | 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: 0d688c71ebff01a9567525ad395590f0e1a97a42f435b0a4ef77fc068d93934c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3f14586f1a1b639d06edbb238c69cedf0c3a364af00be9157ca39d12f7750a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-04-10T19:58:41Z",
    "title_canon_sha256": "401240fe7f101e3c637c98ca4ad1ccc22839295a342f6952c3101fc28a1739f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.04850",
    "kind": "arxiv",
    "version": 1
  }
}