Pith Number

pith:M7ANEUDR

pith:2010:M7ANEUDRTX737ZZJPV7XGBANMV

not attested not anchored not stored refs pending

Tropical Determinant of Integer Doubly-Stochastic Matrices

Jenya Soprunova, Matthew Hartman, Thomas Dinitz

arxiv:1005.3342 v1 · 2010-05-18 · 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{M7ANEUDRTX737ZZJPV7XGBANMV}

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	2026-05-18T04:03:19.572796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c0d250719dffbfe7297d7f73040d655438c79ef3e714f686e57ce000203930

Aliases

arxiv: 1005.3342 · arxiv_version: 1005.3342v1 · doi: 10.48550/arxiv.1005.3342 · pith_short_12: M7ANEUDRTX73 · pith_short_16: M7ANEUDRTX737ZZJ · pith_short_8: M7ANEUDR

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/M7ANEUDRTX737ZZJPV7XGBANMV \
  | 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: 67c0d250719dffbfe7297d7f73040d655438c79ef3e714f686e57ce000203930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6368e87c87c76efd91f8dd1f9fb8dd56aae6fcea94cbe80dddade508f8b88436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-18T23:57:24Z",
    "title_canon_sha256": "09bd2426aea33b1ac2dd524d93f99495420730ec0521bf60c576bfe8c0ac18c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3342",
    "kind": "arxiv",
    "version": 1
  }
}