Pith Number

pith:XMQDHLDR

pith:2017:XMQDHLDRBCUKJK2JJCEYUFK2BE

not attested not anchored not stored refs pending

Convex Set of Doubly Substochastic Matrices

Lei Deng, Qiulin Lin

arxiv:1711.06818 v1 · 2017-11-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMQDHLDRBCUKJK2JJCEYUFK2BE}

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	2026-05-18T00:30:15.493349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2033ac7108a8a4ab4948898a155a0932880e1205b33146d7e7d341a1235816

Aliases

arxiv: 1711.06818 · arxiv_version: 1711.06818v1 · doi: 10.48550/arxiv.1711.06818 · pith_short_12: XMQDHLDRBCUK · pith_short_16: XMQDHLDRBCUKJK2J · pith_short_8: XMQDHLDR

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/XMQDHLDRBCUKJK2JJCEYUFK2BE \
  | 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: bb2033ac7108a8a4ab4948898a155a0932880e1205b33146d7e7d341a1235816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f00173a9c4c4d4634fe1ab5e90ab708f9b0e6a09ed84573a67d76e2060daf70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-18T06:27:24Z",
    "title_canon_sha256": "f6bc39479ea8ff11e3393ad05a657da9aadeb56bbaba89e494749f34c6cf5f4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06818",
    "kind": "arxiv",
    "version": 1
  }
}