Pith Number

pith:5NFU4MHV

pith:2013:5NFU4MHV52TQ2GJKADS5VTJ7BU

not attested not anchored not stored refs pending

A Simple Proof of the Marker-Steinhorn Theorem for Expansions of Ordered Abelian Groups

Erik Walsberg

arxiv:1309.5968 v1 · 2013-09-23 · 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{5NFU4MHV52TQ2GJKADS5VTJ7BU}

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	2026-05-18T03:12:32.202627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb4b4e30f5eea70d192a00e5dacd3f0d19cf91c8d42a260ad9d7a258cc7a6240

Aliases

arxiv: 1309.5968 · arxiv_version: 1309.5968v1 · doi: 10.48550/arxiv.1309.5968 · pith_short_12: 5NFU4MHV52TQ · pith_short_16: 5NFU4MHV52TQ2GJK · pith_short_8: 5NFU4MHV

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/5NFU4MHV52TQ2GJKADS5VTJ7BU \
  | 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: eb4b4e30f5eea70d192a00e5dacd3f0d19cf91c8d42a260ad9d7a258cc7a6240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b3472382bca0eb5c6328a4aa330da07973fe475bf1465ef2eef16ed9d01430",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-23T20:09:40Z",
    "title_canon_sha256": "0c396a6233c1822f721f543e58f30effcd313c3e534042b74f9cc1053196090f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5968",
    "kind": "arxiv",
    "version": 1
  }
}