Pith Number

pith:ENKH7YWA

pith:2022:ENKH7YWAL5UPLCTG2S4RKMRKNB

not attested not anchored not stored refs pending

The Amalgamation Property for automorphisms of ordered abelian groups

Jan Dobrowolski, Rosario Mennuni

arxiv:2209.03944 v5 · 2022-09-08 · math.LO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENKH7YWAL5UPLCTG2S4RKMRKNB}

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	2026-06-29T01:13:59.809652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23547fe2c05f68f58a66d4b915322a6854c5a298ec98b48b5102586360ac6657

Aliases

arxiv: 2209.03944 · arxiv_version: 2209.03944v5 · doi: 10.48550/arxiv.2209.03944 · pith_short_12: ENKH7YWAL5UP · pith_short_16: ENKH7YWAL5UPLCTG · pith_short_8: ENKH7YWA

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/ENKH7YWAL5UPLCTG2S4RKMRKNB \
  | 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: 23547fe2c05f68f58a66d4b915322a6854c5a298ec98b48b5102586360ac6657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c02e3413cdbe6821473f4e893a8aa940ab54788ae942a928e6125153773e490f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-09-08T17:36:39Z",
    "title_canon_sha256": "4fea84f02bec83b00f94ecff64bc8dd75ca4a27e0a1876f0e002171fa525f0b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03944",
    "kind": "arxiv",
    "version": 5
  }
}