Pith Number

pith:UOYIWB7D

pith:2016:UOYIWB7D32ZHCW5PCSUK2U7ZIL

not attested not anchored not stored refs pending

Additive Energy and Irregularities of Distribution

Christoph Aistleitner, Gerhard Larcher

arxiv:1608.06847 v1 · 2016-08-24 · math.NT · math.CA · 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{UOYIWB7D32ZHCW5PCSUK2U7ZIL}

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	2026-05-18T01:07:57.394008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b08b07e3deb2715baf14a8ad53f942ef78cd9a647dffcbe6f866ed0b82a78f

Aliases

arxiv: 1608.06847 · arxiv_version: 1608.06847v1 · doi: 10.48550/arxiv.1608.06847 · pith_short_12: UOYIWB7D32ZH · pith_short_16: UOYIWB7D32ZHCW5P · pith_short_8: UOYIWB7D

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/UOYIWB7D32ZHCW5PCSUK2U7ZIL \
  | 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: a3b08b07e3deb2715baf14a8ad53f942ef78cd9a647dffcbe6f866ed0b82a78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c92a68997fefd06b489a514f66dece110e4caf7cb1f263ccef95041c6874874",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-24T14:45:58Z",
    "title_canon_sha256": "c7105bdc07a1c19d5e2f010e9af0ff3f2d7cbbb35700ea25a2116c1981d82d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06847",
    "kind": "arxiv",
    "version": 1
  }
}