Pith Number

pith:ZHCMDDQU

pith:2012:ZHCMDDQUFXCHMPYGFNSAO6KCKA

not attested not anchored not stored refs pending

New results for the growth of sets of real numbers

Timothy G. F. Jones

arxiv:1202.4972 v1 · 2012-02-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHCMDDQUFXCHMPYGFNSAO6KCKA}

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	2026-05-18T04:01:40.153587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c4c18e142dc4763f062b64077942502cf8a98bd7b699bcd5f78c359ad3b42c

Aliases

arxiv: 1202.4972 · arxiv_version: 1202.4972v1 · doi: 10.48550/arxiv.1202.4972 · pith_short_12: ZHCMDDQUFXCH · pith_short_16: ZHCMDDQUFXCHMPYG · pith_short_8: ZHCMDDQU

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/ZHCMDDQUFXCHMPYGFNSAO6KCKA \
  | 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: c9c4c18e142dc4763f062b64077942502cf8a98bd7b699bcd5f78c359ad3b42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06811eb4fea54fddb2d8d459b1c35b72accf1fd53aaadaa9209b972a1ca118e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-22T16:58:36Z",
    "title_canon_sha256": "e6397f93497eccdc5214b834082a50c2b720922874fd5a1e8b6bc095737dffb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4972",
    "kind": "arxiv",
    "version": 1
  }
}