Pith Number

pith:MZVDCEN7

pith:2013:MZVDCEN7GTHZRJ3EJF7E3VWWVS

not attested not anchored not stored refs pending

Symmetrically complete ordered sets, abelian groups and fields

Franz-Viktor Kuhlmann, Katarzyna, Saharon Shelah

arxiv:1308.0780 v1 · 2013-08-04 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZVDCEN7GTHZRJ3EJF7E3VWWVS}

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	2026-05-18T03:16:48.185336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

666a3111bf34cf98a764497e4dd6d6acaddc5089cf4737dcc0a511a534129317

Aliases

arxiv: 1308.0780 · arxiv_version: 1308.0780v1 · doi: 10.48550/arxiv.1308.0780 · pith_short_12: MZVDCEN7GTHZ · pith_short_16: MZVDCEN7GTHZRJ3E · pith_short_8: MZVDCEN7

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/MZVDCEN7GTHZRJ3EJF7E3VWWVS \
  | 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: 666a3111bf34cf98a764497e4dd6d6acaddc5089cf4737dcc0a511a534129317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3930e77c1670345410e630d5e0654e8d135e1df1655a1d969ca420196106ca0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-04T05:54:55Z",
    "title_canon_sha256": "b2faeb1d2f73d9780f933f7256e1c8f69e1264fd46b60795d3db31699289705c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0780",
    "kind": "arxiv",
    "version": 1
  }
}