Pith Number

pith:2YHYGYUV

pith:2012:2YHYGYUV6EFP2FQEOVQCDAYL4R

not attested not anchored not stored refs pending

Finiteness of commutable maps of bounded degree

Chong Gyu Lee, Hexi Ye

arxiv:1203.1222 v1 · 2012-03-06 · math.NT · 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{2YHYGYUV6EFP2FQEOVQCDAYL4R}

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	2026-05-18T04:00:40.045425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d60f836295f10afd1604756021830be454d1a8a43133e1faaf9ccccd5705940c

Aliases

arxiv: 1203.1222 · arxiv_version: 1203.1222v1 · doi: 10.48550/arxiv.1203.1222 · pith_short_12: 2YHYGYUV6EFP · pith_short_16: 2YHYGYUV6EFP2FQE · pith_short_8: 2YHYGYUV

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/2YHYGYUV6EFP2FQEOVQCDAYL4R \
  | 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: d60f836295f10afd1604756021830be454d1a8a43133e1faaf9ccccd5705940c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41486372d62d87c2d68b84349dfec90aadec8004e8998c4db6c448df2b1572f2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-06T15:11:59Z",
    "title_canon_sha256": "9357a6833350d44327c09e7ef19b93d9ee269697b44a7e971e7d2d5be1eeafd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1222",
    "kind": "arxiv",
    "version": 1
  }
}