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Pith Number

pith:JZEXK7BG

pith:2017:JZEXK7BGKQX2G2K4EXAT4MLX2C
not attested not anchored not stored refs pending

A characterization of strongly dependent ordered Abelian groups

Alfred Dolich, John Goodrick

arxiv:1707.06344 v1 · 2017-07-20 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JZEXK7BGKQX2G2K4EXAT4MLX2C}

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 2026-05-18T00:39:54.087377Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4e49757c26542fa3695c25c13e3177d09c41a83250a0403bb98ed8d909428679

Aliases

arxiv: 1707.06344 · arxiv_version: 1707.06344v1 · doi: 10.48550/arxiv.1707.06344 · pith_short_12: JZEXK7BGKQX2 · pith_short_16: JZEXK7BGKQX2G2K4 · pith_short_8: JZEXK7BG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JZEXK7BGKQX2G2K4EXAT4MLX2C \
  | 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: 4e49757c26542fa3695c25c13e3177d09c41a83250a0403bb98ed8d909428679
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b2a6efeadf5b0d50f7d816dc0c2a06f3eee46595d255db0b1e42fab336d86977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-07-20T02:19:10Z",
    "title_canon_sha256": "20ddc20f89eaffb6b077ca98b199a299a2b4b13624b551cc680a16fe7950c4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06344",
    "kind": "arxiv",
    "version": 1
  }
}