Pith Number

pith:XWNIRMPX

pith:2014:XWNIRMPXKBL3PBV7PCCSVVVSDN

not attested not anchored not stored refs pending

Tropical determinant on transportation polytope

Ivan Soprunov, Jenya Soprunova, Sailaja Gajula

arxiv:1410.3397 v1 · 2014-10-13 · 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{XWNIRMPXKBL3PBV7PCCSVVVSDN}

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	2026-05-18T01:38:54.125776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd9a88b1f75057b786bf78852ad6b21b73fa730b8114a3ecaca1c26efe8ed58e

Aliases

arxiv: 1410.3397 · arxiv_version: 1410.3397v1 · doi: 10.48550/arxiv.1410.3397 · pith_short_12: XWNIRMPXKBL3 · pith_short_16: XWNIRMPXKBL3PBV7 · pith_short_8: XWNIRMPX

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/XWNIRMPXKBL3PBV7PCCSVVVSDN \
  | 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: bd9a88b1f75057b786bf78852ad6b21b73fa730b8114a3ecaca1c26efe8ed58e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5ff9f22e822056633f38c09b8f7fe6120bbb84f9ad4db36691db8e32109c34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-13T17:23:31Z",
    "title_canon_sha256": "9b807207604ee8bd5307a3d4a07fadf017ff93c278f7d51fb2f203f7a9d5f688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3397",
    "kind": "arxiv",
    "version": 1
  }
}