Pith Number

pith:RRHGTJTQ

pith:2009:RRHGTJTQA4CFDCJJZUGRCV5OVT

not attested not anchored not stored refs pending

Bounds on sets with few distances

Alexander Barg, Oleg R. Musin

arxiv:0905.2423 v2 · 2009-05-14 · math.CO · cs.IT · math.IT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RRHGTJTQA4CFDCJJZUGRCV5OVT}

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	2026-05-18T04:23:22.294784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c4e69a6700704518929cd0d1157aeacd02f22f605480d55151b41b9e7120c0a

Aliases

arxiv: 0905.2423 · arxiv_version: 0905.2423v2 · doi: 10.48550/arxiv.0905.2423 · pith_short_12: RRHGTJTQA4CF · pith_short_16: RRHGTJTQA4CFDCJJ · pith_short_8: RRHGTJTQ

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/RRHGTJTQA4CFDCJJZUGRCV5OVT \
  | 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: 8c4e69a6700704518929cd0d1157aeacd02f22f605480d55151b41b9e7120c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333463f245d59029a3a2ac760e58f423f45ecf500f23a2f668aa3015e67b17ed",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-14T21:12:19Z",
    "title_canon_sha256": "e3dd618751b2057ff1df8b64f988cedf2e499f1baeba49c43a1cca3439f9c6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2423",
    "kind": "arxiv",
    "version": 2
  }
}