Pith Number

pith:EFXWBKYJ

pith:2011:EFXWBKYJ2MJP7VR7PFROJOUWAB

not attested not anchored not stored refs pending

A dynamical characterization of C sets

John H. Johnson

arxiv:1112.0715 v1 · 2011-12-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFXWBKYJ2MJP7VR7PFROJOUWAB}

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.

Cited by

1 paper in Pith

The Interplay between Additive and Multiplicative Central Sets Theorems

Receipt and verification

First computed	2026-05-18T04:07:05.827918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216f60ab09d312ffd63f7962e4ba960053ea9056a601f430e24e0c46e9cdd3d6

Aliases

arxiv: 1112.0715 · arxiv_version: 1112.0715v1 · doi: 10.48550/arxiv.1112.0715 · pith_short_12: EFXWBKYJ2MJP · pith_short_16: EFXWBKYJ2MJP7VR7 · pith_short_8: EFXWBKYJ

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/EFXWBKYJ2MJP7VR7PFROJOUWAB \
  | 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: 216f60ab09d312ffd63f7962e4ba960053ea9056a601f430e24e0c46e9cdd3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88cc44a5379f9a3d0ba0713ce71a5321d7fcd04daf6e0beee0c4677ac25fd78a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-04T04:10:01Z",
    "title_canon_sha256": "d16d428480046fbccac957d87ded5a6d44f35bfbd2c8433ffe08eb052dd9a9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0715",
    "kind": "arxiv",
    "version": 1
  }
}