Pith Number

pith:GEGRUCTI

pith:2014:GEGRUCTIE5OTVP2Z7YTSAFVSU2

not attested not anchored not stored refs pending

On necklaces inside thin subsets of ${\Bbb R}^d$

Alex Iosevich, Allan Greenleaf, Malabika Pramanik

arxiv:1409.2588 v1 · 2014-09-09 · math.CA · math.CO · 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{GEGRUCTIE5OTVP2Z7YTSAFVSU2}

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	2026-05-18T02:43:10.222365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310d1a0a68275d3abf59fe272016b2a6ad01ebb60868670ca1e537b832f3d20f

Aliases

arxiv: 1409.2588 · arxiv_version: 1409.2588v1 · doi: 10.48550/arxiv.1409.2588 · pith_short_12: GEGRUCTIE5OT · pith_short_16: GEGRUCTIE5OTVP2Z · pith_short_8: GEGRUCTI

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/GEGRUCTIE5OTVP2Z7YTSAFVSU2 \
  | 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: 310d1a0a68275d3abf59fe272016b2a6ad01ebb60868670ca1e537b832f3d20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79aff2534ecbec48ee3542d1dda9d72ad59b9544169ccde637a75764ba88a8d7",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-09T03:58:53Z",
    "title_canon_sha256": "369ff2fad032b736138e82d8ab2775984b2a2b90e2a1c53a5f8c38952dc89d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2588",
    "kind": "arxiv",
    "version": 1
  }
}