Pith Number

pith:HR5X22BY

pith:2012:HR5X22BYE7AWB4T3PFKTFLQTX2

not attested not anchored not stored refs pending

Endpoint bounds for the quartile operator

Ciprian Demeter, Francesco Di Plinio

arxiv:1206.3798 v2 · 2012-06-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR5X22BYE7AWB4T3PFKTFLQTX2}

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	2026-05-18T03:31:44.903746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c7b7d683827c160f27b795532ae13beb51ee7901ccbf0ac9e55fc44d8b3a03a

Aliases

arxiv: 1206.3798 · arxiv_version: 1206.3798v2 · doi: 10.48550/arxiv.1206.3798 · pith_short_12: HR5X22BYE7AW · pith_short_16: HR5X22BYE7AWB4T3 · pith_short_8: HR5X22BY

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/HR5X22BYE7AWB4T3PFKTFLQTX2 \
  | 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: 3c7b7d683827c160f27b795532ae13beb51ee7901ccbf0ac9e55fc44d8b3a03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c87f84fc8e93a47262fdd026ca2d7f40175733bd8c80df01d6a713139e5fac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-17T21:46:48Z",
    "title_canon_sha256": "966c64650c2462824d7dd46eba2adc7c90e92f0f99a838606714b9de3d1c080f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3798",
    "kind": "arxiv",
    "version": 2
  }
}