pith. sign in
Pith Number

pith:ZMFCOK64

pith:2018:ZMFCOK64M6BMJI455LJUNY7F6S
not attested not anchored not stored refs pending

Discrete orderings in the real spectrum

Shahram Mohsenipour

arxiv:1807.00501 v2 · 2018-07-02 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZMFCOK64M6BMJI455LJUNY7F6S}

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 2026-05-17T23:51:44.069916Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cb0a272bdc6782c4a39dead346e3e5f4b09abec9f4fa0df141b457e8d1485bec

Aliases

arxiv: 1807.00501 · arxiv_version: 1807.00501v2 · doi: 10.48550/arxiv.1807.00501 · pith_short_12: ZMFCOK64M6BM · pith_short_16: ZMFCOK64M6BMJI45 · pith_short_8: ZMFCOK64
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZMFCOK64M6BMJI455LJUNY7F6S \
  | 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: cb0a272bdc6782c4a39dead346e3e5f4b09abec9f4fa0df141b457e8d1485bec
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1b07f206597a6afadcb7d9ba9ab45c55812b158747ba683bca6f58d5aed009c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-07-02T07:38:52Z",
    "title_canon_sha256": "17a18791a144a09a6a7b67d30c73dee0d5ebcf943d90dca3f5c2b1d65298671a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00501",
    "kind": "arxiv",
    "version": 2
  }
}