Pith. sign in
Pith Number

pith:MXMDK2GJ

pith:2019:MXMDK2GJXSQX2PN75MJG22OW6F
not attested not anchored not stored refs pending

Lifting countable to uncountable mathematics

Sam Sanders

arxiv:1908.05677 v4 · 2019-08-15 · math.LO · cs.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MXMDK2GJXSQX2PN75MJG22OW6F}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T01:11:41.240431Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

65d83568c9bca17d3dbfeb126d69d6f166d44d14061e482af04b8f169f19e28c

Aliases

arxiv: 1908.05677 · arxiv_version: 1908.05677v4 · doi: 10.48550/arxiv.1908.05677 · pith_short_12: MXMDK2GJXSQX · pith_short_16: MXMDK2GJXSQX2PN7 · pith_short_8: MXMDK2GJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MXMDK2GJXSQX2PN75MJG22OW6F \
  | 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: 65d83568c9bca17d3dbfeb126d69d6f166d44d14061e482af04b8f169f19e28c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b712e2e5cbf1c90524d1ee7d0038107903c040d1be3c4f46241ed6c2ab3891ab",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-08-15T12:50:20Z",
    "title_canon_sha256": "b60606f5306a1ebfd6559ed8aea67c880779a3ac82d71da4555812a95916411a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05677",
    "kind": "arxiv",
    "version": 4
  }
}