Pith Number

pith:YOI6IVWI

pith:2010:YOI6IVWIPVYT26WID45NP5DN7I

not attested not anchored not stored refs pending

Additive energy and the Falconer distance problem in finite fields

Chun-Yen Shen, Doowon Koh

arxiv:1010.1597 v1 · 2010-10-08 · 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{YOI6IVWIPVYT26WID45NP5DN7I}

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	2026-05-18T04:39:40.147833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c391e456c87d713d7ac81f3ad7f46dfa0fd4e7757ee797eefa6a34cba7638949

Aliases

arxiv: 1010.1597 · arxiv_version: 1010.1597v1 · doi: 10.48550/arxiv.1010.1597 · pith_short_12: YOI6IVWIPVYT · pith_short_16: YOI6IVWIPVYT26WI · pith_short_8: YOI6IVWI

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/YOI6IVWIPVYT26WID45NP5DN7I \
  | 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: c391e456c87d713d7ac81f3ad7f46dfa0fd4e7757ee797eefa6a34cba7638949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97e58f11278a0c5983470dd0eb31f79182f2ea47c988395fefbec2acce905b4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-08T05:56:21Z",
    "title_canon_sha256": "60f4ec5da271875ca037ee2fac92bb46382ca27fa1cbdacd910acd22b1818e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1597",
    "kind": "arxiv",
    "version": 1
  }
}