Pith Number

pith:MGYHM2EE

pith:2024:MGYHM2EE7HQUNWLWDXNZT25GYG

not attested not anchored not stored refs pending

Tropical Vector Bundles

Bivas Khan, Diane Maclagan

arxiv:2405.03505 v1 · 2024-05-06 · 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{MGYHM2EE7HQUNWLWDXNZT25GYG}

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

Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves

Receipt and verification

First computed	2026-07-05T08:16:03.866541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b0766884f9e146d9761ddb99eba6c18a06a4a240b746ffabdc1e7277b9a7a7

Aliases

arxiv: 2405.03505 · arxiv_version: 2405.03505v1 · doi: 10.48550/arxiv.2405.03505 · pith_short_12: MGYHM2EE7HQU · pith_short_16: MGYHM2EE7HQUNWLW · pith_short_8: MGYHM2EE

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/MGYHM2EE7HQUNWLWDXNZT25GYG \
  | 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: 61b0766884f9e146d9761ddb99eba6c18a06a4a240b746ffabdc1e7277b9a7a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3f5c154cddafc4bfdf7a599ef9ccbbea15ff25b0f578c58a8b1b991da377ab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-06T14:19:45Z",
    "title_canon_sha256": "bf4f829e46cc5258741acdc33f862176db4bc82b93f1cb5102070495c23655b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03505",
    "kind": "arxiv",
    "version": 1
  }
}