Pith Number

pith:ER6NCMSL

pith:2015:ER6NCMSLVIMCCW3NZCAUD5XS3H

not attested not anchored not stored refs pending

On the distance sets of AD-regular sets

Tuomas Orponen

arxiv:1509.06675 v3 · 2015-09-22 · math.CA · 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{ER6NCMSLVIMCCW3NZCAUD5XS3H}

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	2026-05-18T00:55:14.450143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

247cd1324baa18215b6dc88141f6f2d9e75bd8a44efd2ea5f219292b01217861

Aliases

arxiv: 1509.06675 · arxiv_version: 1509.06675v3 · doi: 10.48550/arxiv.1509.06675 · pith_short_12: ER6NCMSLVIMC · pith_short_16: ER6NCMSLVIMCCW3N · pith_short_8: ER6NCMSL

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/ER6NCMSLVIMCCW3NZCAUD5XS3H \
  | 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: 247cd1324baa18215b6dc88141f6f2d9e75bd8a44efd2ea5f219292b01217861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77560d1b36143599bd818a7e839875f6ae5e22ecc39674f84f5f9d513360f5dc",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-22T16:35:49Z",
    "title_canon_sha256": "49de30942e5d1473030d911ab610c5d6c5b2d542c14a8a5d33d791471674bb6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06675",
    "kind": "arxiv",
    "version": 3
  }
}