Pith Number

pith:EERGEXRY

pith:2015:EERGEXRYKS627HHOC2222RBDYU

not attested not anchored not stored refs pending

Upper and lower densities have the strong Darboux property

Paolo Leonetti, Salvatore Tringali

arxiv:1510.07473 v3 · 2015-10-26 · math.CA · math.FA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EERGEXRYKS627HHOC2222RBDYU}

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	2026-05-18T00:16:09.901647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2122625e3854bdaf9cee16b5ad4423c53bfb3d15608abe27af1fbc3009d2ea8a

Aliases

arxiv: 1510.07473 · arxiv_version: 1510.07473v3 · doi: 10.48550/arxiv.1510.07473 · pith_short_12: EERGEXRYKS62 · pith_short_16: EERGEXRYKS627HHO · pith_short_8: EERGEXRY

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/EERGEXRYKS627HHOC2222RBDYU \
  | 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: 2122625e3854bdaf9cee16b5ad4423c53bfb3d15608abe27af1fbc3009d2ea8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95966d1e44a07761ea8ad4fa99215fa9f72273ba98710312f0470c247f095785",
    "cross_cats_sorted": [
      "math.FA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-26T13:25:05Z",
    "title_canon_sha256": "d6d9ca98a4aa085da84b752f276c4e720de6590cbc2a3e4784d9c4891f401b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07473",
    "kind": "arxiv",
    "version": 3
  }
}