Pith Number

pith:MMUISLXH

pith:2025:MMUISLXH6SWC6SELW5TRDD4UZK

not attested not anchored not stored refs pending

Tropical linear systems and the realizability problem

Matthew Dupraz

arxiv:2506.21268 v1 · 2025-06-26 · math.AG · 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{MMUISLXH6SWC6SELW5TRDD4UZK}

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

Tropical linear series and matroids

Receipt and verification

First computed	2026-07-05T11:27:42.544256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6328892ee7f4ac2f488bb767118f94ca94cdea0e5518b926f27056635ff25005

Aliases

arxiv: 2506.21268 · arxiv_version: 2506.21268v1 · doi: 10.48550/arxiv.2506.21268 · pith_short_12: MMUISLXH6SWC · pith_short_16: MMUISLXH6SWC6SEL · pith_short_8: MMUISLXH

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/MMUISLXH6SWC6SELW5TRDD4UZK \
  | 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: 6328892ee7f4ac2f488bb767118f94ca94cdea0e5518b926f27056635ff25005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabbfeaf185244a919a9a016a3c17e16e9c0b1313d58295cfe79f4a8e76165b5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-26T13:51:17Z",
    "title_canon_sha256": "6fa271093da92462f6a0ba3227b3007ac36ec5f685f93d8c758fd0d061d1bc63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21268",
    "kind": "arxiv",
    "version": 1
  }
}