Pith Number

pith:YLZBDU54

pith:2017:YLZBDU54ECU74OOT2PVO7NG3K4

not attested not anchored not stored refs pending

Algebraic Independence Relations in Randomizations

H. Jerome Keisler, Isaac Goldbring, Uri Andrews

arxiv:1703.10913 v1 · 2017-03-31 · 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{YLZBDU54ECU74OOT2PVO7NG3K4}

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	2026-05-18T00:47:32.339821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f211d3bc20a9fe39d3d3eaefb4db571e3963136b5d9eb947bc76dd626f6054

Aliases

arxiv: 1703.10913 · arxiv_version: 1703.10913v1 · doi: 10.48550/arxiv.1703.10913 · pith_short_12: YLZBDU54ECU7 · pith_short_16: YLZBDU54ECU74OOT · pith_short_8: YLZBDU54

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/YLZBDU54ECU74OOT2PVO7NG3K4 \
  | 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: c2f211d3bc20a9fe39d3d3eaefb4db571e3963136b5d9eb947bc76dd626f6054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eb6163e00a223cdc0954371df7f59e6f8561cb00a8f051e3f87a37848351919",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-03-31T14:28:48Z",
    "title_canon_sha256": "bf8e6a11ee82e691cd2290989deb43bffc0237ef847d0f0ea78e4a69eeacc409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10913",
    "kind": "arxiv",
    "version": 1
  }
}